Relevant bibliographies by topics / Common fixed points

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Common fixed points'

Author: Grafiati
Published: 3 June 2025
Last updated: 6 July 2025

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Journal articles on the topic "Common fixed points"

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Liu, Zeqing, M. S. Khan, and H. K. Pathak. "On Common Fixed Points." gmj 9, no. 2 (2002): 325–30. http://dx.doi.org/10.1515/gmj.2002.325.

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Liu, Zeqing, and Jeong Sheok Ume. "Results on common fixed points." International Journal of Mathematics and Mathematical Sciences 27, no. 12 (2001): 759–64. http://dx.doi.org/10.1155/s0161171201005920.

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We establish common fixed point theorems related with families of self mappings on metric spaces. Our results extend, improve, and unify the results due to Fisher (1977, 1978, 1979, 1981, 1984), Jungck (1988), and Ohta and Nikaido (1994).
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Lewis, Ted, Balder von Hohenbalken, and Victor Klee. "Common supports as fixed points." Geometriae Dedicata 60, no. 3 (1996): 277–81. http://dx.doi.org/10.1007/bf00147364.

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Stouti, Abdelkader, and Abdelhakim Maaden. "Fixed points and common fixed points theorems in pseudo-ordered sets." Proyecciones (Antofagasta) 32, no. 4 (2013): 409–18. http://dx.doi.org/10.4067/s0716-09172013000400008.

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Espínola, Rafa, Pepa Lorenzo, and Adriana Nicolae. "Fixed points, selections and common fixed points for nonexpansive-type mappings." Journal of Mathematical Analysis and Applications 382, no. 2 (2011): 503–15. http://dx.doi.org/10.1016/j.jmaa.2010.06.039.

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Liu, Zeqing, Yuguang Xu, and Yeol Je Cho. "On Characterizations of Fixed and Common Fixed Points." Journal of Mathematical Analysis and Applications 222, no. 2 (1998): 494–504. http://dx.doi.org/10.1006/jmaa.1998.5947.

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Bouhadjera, Hakima, Said Beloul, and Achref Tabet. "Common fixed points under strict conditions." Mathematica Moravica 24, no. 2 (2020): 63–70. http://dx.doi.org/10.5937/matmor2002063b.

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In this contribution, three new concepts called reciprocally continuous, strictly subweakly compatible and strictly subreciprocally continuous single and multivalued mappings are given for obtention some common fixed point theorems in a metric space. Our results improve and complement the results of Aliouche and Popa, Azam and Beg, Deshpande and Pathak, Kaneko and Sessa, Popa and others.
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Singh, M. P., and R. Yumnam. "Common Fixed Points of Compatible Mappings." Journal of Scientific Research 4, no. 3 (2012): 603–8. http://dx.doi.org/10.3329/jsr.v4i3.10567.

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In this paper we prove two common fixed point theorems by considering four mappings in complete metric space. In the first theorem we consider two pairs of compatible mappings of type (A) and in the second theorem we consider two pairs of compatible mappings of type (B). Our results modify and extend some earlier results in the literature.© 2012 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved.doi: http://dx.doi.org/10.3329/jsr.v4i3.10567 J. Sci. Res. 4 (3), 603-608 (2012)
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Azam, Akbar, and Ismat Beg. "Common fixed points of fuzzy maps." Mathematical and Computer Modelling 49, no. 7-8 (2009): 1331–36. http://dx.doi.org/10.1016/j.mcm.2008.11.011.

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Park, Jong Yeoul, and Jae Ug Jeong. "Common fixed points of fuzzy mappings." Fuzzy Sets and Systems 59, no. 2 (1993): 231–35. http://dx.doi.org/10.1016/0165-0114(93)90203-t.

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Dissertations / Theses on the topic "Common fixed points"

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Bouhadjera, Hakima. "Recherche de points fixes communs sous diverses conditions de compatibilité." Brest, 2011. http://www.theses.fr/2011BRES2002.

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Le sujet de ce travail est l’étude de différentes conditions de compatibilités entre fonctions et multifonctions, et leur intérêt dans la recherche de points fixes communs à ces applications. Ces conditions dont l’étude apparaît essentiellement à partir des années 90 et se développe encore actuellement, s’étendent de la notion simple de commutativité de deux applications jusqu’à celles de compatibilité super-faible, de sous- compatibilité pour les couples hybrides et du concept d’applications faiblement biaisées, en passant par les notions de commutativité faible, de compatibilité, de compatibilité de divers types: type A, type B, type C, type P, de compatibilité, de compatibilité faible et de compatibilité occasionnellement faible. Dans le chapitre 1, après un bref historique des premières notions de compatibilités, un résultat d’existence de points fixes communs associant à la compatibilité faible, une condition de type Meir-Keeler est présenté. Ce résultat améliore le travail de Jha K, Pant R. P. Un théorème est aussi établi dans le même cadre, montrant l’existence d’un point fixe commun pour une infinité d’applications. Le deuxième chapitre traite de la compatibilité occasionnellement faible. Cette notion introduite par Al-Thagafi et Shahzad en 2006, utilisée dans le cadre univoque par Jungk et Rhoades (2006) est étendue au cadre multivoque par Abbas et Rhoades (2007). Nos résultats de cette partie améliorent, entre autres, ceux d’Aliouche (2007), de Mbarki (2003) et de Pathak H. , Cho Y. , Kang S. Et Madharia B. (1998) en y supprimant ou en affaiblissant des hypothèses sur la fonction implicite considérée, des hypothèses de compacité ou de continuité des applications concernées. Dans le troisième chapitre, la définition de la sous-compatibilité pour des couples hybrides nous permet de prouver des théorèmes d’existence et d’unicité de point fixe avec des conditions de type intégrai dans des espaces métriques complets et aussi dans des espaces symétriques. Les résultats obtenus dans cette partie généralisent ceux de Djoudi A. Et Aliouche A. (2007), de Pathak, Tiwari R. Et Khan M. S. (2007) ainsi que ceux de Aage C. T. Et Salunke J. N. (2009). Dans le chapitre 4, les notions de compatibilité super-faible et de continuité sous-séquentielle sont définies et utilisées pour établir des résultats de points de coïncidence et de points fixes communs dans des espaces métriques quelconques. Des résultats de Mbarki sont ainsi généralisés. Le dernier chapitre traite des applications occasionnellement faiblement biaisées. Cette notion généralise celle d’applications biaisées introduite par Jungck et Pathak (1995) et nous permet de donner des résultats dans les espaces normés, dans les espaces métriques et les espaces symétriques, - améliorant ainsi certains résultats de Ciric L. B. Et Ume J. S. (2003) et de Shahzad N. Et Sahar S. (2000)<br>This work consists of five parts and is focused on studying the existence and uniqueness of common fixed point for mappings which have low properties. In the first part of this work, we improve a common fixed point theorem for four compatible mappings of Jha K. , Pant H. P. And Singh, by giving a theorem with weaker conditions. Also, we give a second theorem which is an extension of the first theorem using an infinite number of mappings of Meir-Keeler type. In the second part, we extend some common fixed point theorems for single-valued mappings given by some authors as Mbarki, Aliouche and Popa, Pathak H. , Cho Y. , Kang S. And Madharia B, to single and multi-valued mappings of general type, type of Gregus and near-contractive type mappings using few conditions such as we removed the compactness required on the space in the papers of Aliouche and Popa, go we did not require continuity on any of these four mappings by using the conditions strictly contractive (2. 2) and (2. 3) which are considered more general than the inequalities cited in the earlier papers, we also weakened the definitions relating to the compatibility, compatibility of type (A), of type (C), of type (P) and weak compatibility by the occasional weak compatibility. In the third part, first, we extend several theorems given in Djoudi and Khems, Elamrani and Mehdaoui, Pathak, Tiwari and Khan to multivalued mappings by using the integral type. Then, we give two theorems for single-valued mappings which improve results of Aage and Salunke since we removed the assumptions of inclusion and continuity requirements on mappings by using occasional weak compatibility and obtain results in a set endowed with a symmetric instead of a complete metric space. In the penultimate section, we establish two new concepts: the super-weakly compatibility and the sub-sequential continuity. These definitions are weaker than occasional weak compatibility and reciprocal continuity, respectively. By using these new concepts, we can give different theorems of single-valued mappings in metric spaces. In the fifth and last part, we also introduce a new concept of the occasionally biaised compatibility. This definition is very general and the lowest at this time with regard to different types of compatibility given before counting the compatibility weakly biased and that occasional weak. We also have given some theorems winch extend in particular the results given by Ciric and Ume and also Shahzad and Sahar
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Lai, Pei-lin, and 賴佩琳. "Iterative Methods for Common Fixed Points of Nonexpansive Mappings in Hilbert spaces." Thesis, 2011. http://ndltd.ncl.edu.tw/handle/19265083539432874599.

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碩士<br>國立中山大學<br>應用數學系研究所<br>99<br>The aim of this work is to propose viscosity-like methods for finding a specific common fixed point of a finite family T={ T_{i} }_{i=1}^{N} of nonexpansive self-mappings of a closed convex subset C of a Hilbert space H.We propose two schemes: one implicit and the other explicit.The implicit scheme determines a set {x_{t} : 0 &amp;lt; t &amp;lt; 1} through the fixed point equation x_{t}= tf (x_{t} ) + (1− t)Tx_{t}, where f : C→C is a contraction.The explicit scheme is the discretization of the implicit scheme and de defines a sequence {x_{n} } by the recursion x_{n+1}=α\_{n}f(x_{n}) +(1−α\_{n})Tx_{n} for n ≥ 0, where {α\_{n} }⊂ (0,1) It has been shown in the literature that both implicit and explicit schemes converge in norm to a fixed point of T (with additional conditions imposed on the sequence {α _{n} } in the explicit scheme).We will extend both schemes to the case of a finite family of nonexpansive mappings. Our proposed schemes converge in norm to a common fixed point of the family which in addition solves a variational inequality.
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Peng, Bo-Sheng, and 彭博生. "Common fixed points of two single-valued and two multi-valued maps on metric spaces." Thesis, 2011. http://ndltd.ncl.edu.tw/handle/59368641987407429303.

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碩士<br>國立新竹教育大學<br>人資處數學教育碩士班<br>99<br>The aim of this paper is to prove some common fixed point theorems for a hybird pair of single-valued and multivalued maps under hybird contractive conditions which contains the property (EA). Our results generalizes some recent results.
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Hong, Zong Gan, and 洪宗乾. "Some common fixed point theorems in menger spaces." Thesis, 1996. http://ndltd.ncl.edu.tw/handle/68672967172743646591.

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Huang, Yi-Shan, and 黃怡珊. "A Common Fixed Point in Cone Metric Spaces." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/10760954246339620553.

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Chang, Li-Chien, and 張豊傑. "A common fixed point theorem in compact menger spaces." Thesis, 2003. http://ndltd.ncl.edu.tw/handle/06189470866136944608.

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碩士<br>國立新竹教育大學<br>進修部數理教育碩士班(數學組)<br>92<br>In the paper we prove a contractive type common fixed point theorem for four self-mappings in a Menger space （X,F,t ） . This theorem in fact extends some results of common fixed point theorems for the case that X is a metric space.
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Chung, Chi-Sheng, and 鐘啟昇. "Common fixed point theorems in cone rectangular metric spaces." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/46970867471098689673.

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碩士<br>國立新竹教育大學<br>應用數學系碩士班<br>98<br>In this paper, we get some common fixed theorems in complete cone rectangular metric spaces under contractive condition (CBW). Our results extend many authors’ results [2,7].
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LI-CHIEH, CHANG, and 張豊傑. "A COMMON FIXED POINT THEOREM IN COMPACT MENGER SPACES." Thesis, 2003. http://ndltd.ncl.edu.tw/handle/75478440562978738857.

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碩士<br>國立新竹師範學院<br>數理教育碩士班數學組<br>92<br>In the paper we prove a contractive type common fixed point theorem for four self-mappings in a Menger space（ F, ）. This theorem in fact extends some results of common fixed point theorems for the case that X is a metric space.
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Tsai, Pei-Shan, and 蔡佩珊. "FIXED POINT AND COMMON FIXED POINT THEOREMS FOR THE MEIR-KEELER TYPE FUNCTIONS IN CONE BALL-METRIC SPACES." Thesis, 2014. http://ndltd.ncl.edu.tw/handle/67084109561686820121.

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羅錫康. "A Common Fixed Point Theorem in Complete G-Metric Spaces." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/28083360650483600229.

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碩士<br>國立新竹教育大學<br>應用數學系碩士班<br>98<br>In this paper, we prove some coincidence points for mapping satisfying (CBW) conditions on complete G-Metric Spaces, also we showed if mappings f and g are commute at their coincidence points, then they have a common fixed point result.
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Books on the topic "Common fixed points"

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Zaslavski, Alexander J. Algorithms for Solving Common Fixed Point Problems. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-77437-4.

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Zaslavski, Alexander J. Approximate Solutions of Common Fixed-Point Problems. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-33255-0.

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Zaslavski, Alexander J. Optimization on Solution Sets of Common Fixed Point Problems. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-78849-0.

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Zaslavski, Alexander J. The Krasnoselskii-Mann Method for Common Fixed Point Problems. Springer Nature Switzerland, 2025. https://doi.org/10.1007/978-3-031-85841-3.

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Zaslavski, Alexander J. Approximate Solutions of Common Fixed-Point Problems. Springer, 2018.

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Zaslavski, Alexander J. Approximate Solutions of Common Fixed-Point Problems. Springer London, Limited, 2016.

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Zaslavski, Alexander J. Approximate Solutions of Common Fixed-Point Problems. Springer, 2016.

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Zaslavski, Alexander J. Algorithms for Solving Common Fixed Point Problems. Springer, 2018.

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Zaslavski, Alexander J. Algorithms for Solving Common Fixed Point Problems. Springer, 2019.

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Zaslavski, Alexander J. Optimization on Solution Sets of Common Fixed Point Problems. Springer International Publishing AG, 2021.

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Book chapters on the topic "Common fixed points"

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Filip, Alexandru-Darius, and Voichiţa Adriana Radu. "Iterative Approximation of Common Fixed Points in Kasahara Spaces." In Springer Proceedings in Mathematics & Statistics. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-1153-0_12.

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Ching, Zhiming. "Approximation of Common Fixed Points for Families of Mappings." In Lecture Notes in Electrical Engineering. Springer London, 2012. http://dx.doi.org/10.1007/978-1-4471-2386-6_66.

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Gupta, Vishal, and Naveen Mani. "Common Fixed Points by Using E.A. Property in Fuzzy Metric Spaces." In Advances in Intelligent Systems and Computing. Springer India, 2014. http://dx.doi.org/10.1007/978-81-322-1768-8_4.

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Shahzad, Aqeel, Abdullah Shoaib, Konrawut Khammahawong, and Poom Kumam. "New Ciric Type Rational Fuzzy F-Contraction for Common Fixed Points." In Beyond Traditional Probabilistic Methods in Economics. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-04200-4_17.

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Bonab, Samira Hadi, Vahid Parvaneh, and Zohreh Bagheri. "Summarized Proofs to Find Common Fixed Points of Prešić Contractions for Four Maps." In Advanced Mathematical Analysis and its Applications. Chapman and Hall/CRC, 2023. http://dx.doi.org/10.1201/9781003388678-8.

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Nazir, Talat, and Sergei Silvestrov. "Common Fixed Points of Weakly Commuting Multivalued Mappings on a Domain of Sets Endowed with Directed Graph." In Springer Proceedings in Mathematics & Statistics. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-42105-6_19.

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Konwar, Nabanita. "Common Fixed Point Theorems and Applications in Intuitionistic Fuzzy Cone Metric Spaces." In Metric Fixed Point Theory. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-4896-0_3.

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Lan, Heng-you, Tian-xiu Lu, Huang-lin Zeng, and Xiao-hong Ren. "Perturbed Iterative Approximation of Common Fixed Points on Nonlinear Fuzzy and Crisp Mixed Family Operator Equation Couples in Menger PN-Spaces." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-16248-0_35.

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Hammad, Hasanen A., and Mamadou Alouma Diallo. "Common Solutions to Variational Inequality Problem via Parallel and Cyclic Hybrid Inertial CQ-Subgradient Extragradient Algorithms in (HSs)." In Metric Fixed Point Theory. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-4896-0_9.

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Zaslavski, Alexander J. "Proximal Point Algorithm." In Approximate Solutions of Common Fixed-Point Problems. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-33255-0_8.

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Conference papers on the topic "Common fixed points"

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Yousif, Amenah Kareem, and Mohammed Jassim Mohammed. "Common fixed points on partial fuzzy metric spaces." In 3RD INTERNATIONAL CONFERENCE ON MATHEMATICS, AI, INFORMATION AND COMMUNICATION TECHNOLOGIES: ICMAICT2023. AIP Publishing, 2025. https://doi.org/10.1063/5.0259124.

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Alobadi, Mustafa Dawood Talak, and Zena Hussein Maibed. "Convergence results to common fixed points for ZM-Reich mappings." In 4TH INTERNATIONAL CONFERENCE ON INNOVATION IN IOT, ROBOTICS AND AUTOMATION (IIRA 4.0). AIP Publishing, 2025. https://doi.org/10.1063/5.0256223.

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Ali, Reyadh Delfi, and Ali Musaddak Delphi. "Common fixed points and S-best coapproximation in 2-Banach spaces." In SECOND INTERNATIONAL CONFERENCE ON MATERIAL SCIENCE, SMART STRUCTURES AND APPLICATIONS: ICMSS-2019. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5141437.

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Ma, Lerong, and Xinghui Gao. "Iterative Methods of Common Fixed Points for Nonexpansive Mappings and Nonspreading Mappings." In 2010 International Conference on Computational Aspects of Social Networks (CASoN 2010). IEEE, 2010. http://dx.doi.org/10.1109/cason.2010.62.

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Wei Li and Li-Ling Duan. "Iterative algorithm to common fixed points of infinite nonexpansive mappings in Banach spaces." In 2008 International Conference on Machine Learning and Cybernetics (ICMLC). IEEE, 2008. http://dx.doi.org/10.1109/icmlc.2008.4620790.

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KHONGTHAM, YAOWALUCK. "THREE-STEPS ITERATIVE METHOD FOR COMMON FIXED POINTS, VARIATIONAL INCLUSIONS, AND EQUILIBRIUM PROBLEMS." In International Multiconference of Engineers and Computer Scientists (IMECS2014) & World Congress on Engineering 2014 (WCE 2014). WORLD SCIENTIFIC, 2015. http://dx.doi.org/10.1142/9789814667364_0009.

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Zhu, Xing-hua, and Jian-zhong Xiao. "Approximating Common Fixed Points of Contractive and Nonexpansive Operators in Fuzzy Normed Spaces." In 2009 Sixth International Conference on Fuzzy Systems and Knowledge Discovery. IEEE, 2009. http://dx.doi.org/10.1109/fskd.2009.83.

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Hussain Khan, Safeer, and H. Fukhar-ud-din. "Common fixed points of two finite families of quasicontractive type operators in normed spaces." In 2nd Annual International Conference on Computational Mathematics, Computational Geometry & Statistics. Global Science Technology Forum, 2013. http://dx.doi.org/10.5176/2251-1911_cmcgs13.31.

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Nahi, Abbas Karim, and Salwa Salman Abed. "Cyclic representation and common fixed points in complete metric spaces with weakly compatible mappings." In 4TH INTERNATIONAL CONFERENCE ON INNOVATION IN IOT, ROBOTICS AND AUTOMATION (IIRA 4.0). AIP Publishing, 2025. https://doi.org/10.1063/5.0254238.

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Xiaomin, Chen, Feng Yuan-yuan, and Xie Xuping. "Approximation of Composite Implicit Iteration Process for Common Fixed Points of General Asymptotically Nonexpansive Mappings." In 2011 International Conference on Business Computing and Global Informatization (BCGIn). IEEE, 2011. http://dx.doi.org/10.1109/bcgin.2011.87.

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Reports on the topic "Common fixed points"

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Wright, Wendy, M. Gregory, and Aaron Rinehart. Fixed-station water quality monitoring at Timucuan Ecological and Historic Preserve: 2011 data summary. National Park Service, 2012. https://doi.org/10.36967/2190462.

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In 2003 the Northeast Florida Water Quality Preservation Group — a coalition composed of the Florida Department of Environmental Protection, Office of Coastal and Aquatic Managed Areas (CAMA), the National Park Service (NPS), and the Nature Conservancy — was formed by official Memorandum of Understanding to “collaborate to preserve, protect, and enhance water quality” of Timucuan Ecological and Historical Preserve (TIMU) in northern Florida. In 2006, the National Park Service Southeast Coast Network (SECN) in cooperation with the City of Jacksonville, Florida and CAMA established a jointly-operated water quality monitoring network within the Preserve’s boundaries to provide relevant water quality information to resource managers locally and at TIMU. This network is currently composed of 16 sites — 12 of which are monitored every other month by the City of Jacksonville for nutrients and chlorophyll a with four additional sites monitored continuously by the NPS for pH, dissolved oxygen, temperature, salinity, specific conductance, turbidity and water level. Information collected by this monitoring program will be used to help managers make informed decisions by understanding trends and variability related to water-quality conditions in park waters. Continuous data records presented at the four monitoring stations reflect only 6 months of data collection during 2011. Continuous data collection activities were suspended in June due to closing of the Florida Department of Environmental Protection, Office of Coastal and Aquatic Managed Areas (CAMA). Elevated levels of dissolved phosphorus were the most common cause of poor waterquality ratings during 2011. Discrete bimonthly water-quality sampling indicated elevated phosphorus (TDP) levels at all sites sampled in TIMU. High levels of phosphorus were more common during the late summer months at most sites although TIM1 and TIM2, the most upstream sites on the Nassau River, exhibited elevated levels throughout the year. Except for poor water clarity conditions observed on a single date in April at TIM1, water clarity, chlorophyll a, dissolved oxygen, and dissolved inorganic nitrogen levels rated as either good or fair throughout the year. Dissolved oxygen levels generally decreased from January to June at all sites as water temperatures increased. Mean daily dissolved oxygen levels below 5mg/L were commonly observed at all of the sites through June. Mean daily dissolved oxygen levels below 2 mg/L were occasionally observed at both the Clapboard Creek and Nassau River Stations during late spring. Salinity levels dipped to their lowest points during March at all sites although the freshwater influence was least discernible at Kingsley Plantation and the most pronounced at the Nassau River station. Lower salinity levels were observed for longer periods of the year at the more inland stations on Nassau River and Clapboard Creek. The Nassau River station became dominated by freshwater during early spring months. pH values were consistently lower at the Nassau River site throughout the spring with the lowest pH values at the Nassau River station coinciding with periods of high streamflow.
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Rinehart, Aaron, M. Gregory, and Wendy Wright. Fixed-station water-quality monitoring at Timucuan Ecological and Historic Preserve: 2012 data summary. National Park Service, 2013. https://doi.org/10.36967/2195323.

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In 2003 the Northeast Florida Water Quality Preservation Group — a coalition composed of the Florida Department of Environmental Protection, Office of Coastal and Aquatic Managed Areas (CAMA), the National Park Service (NPS), and the Nature Conservancy — was formed by official Memorandum of Understanding to “collaborate to preserve, protect, and enhance water quality” of Timucuan Ecological and Historic Preserve (TIMU) in northern Florida. In 2006, the National Park Service Southeast Coast Network (SECN) in cooperation with the City of Jacksonville, Florida and CAMA established a jointly-operated water-quality monitoring network within the Preserve’s boundaries to provide relevant water-quality information to resource managers locally and at TIMU. This network is currently composed of 13 sites — 12 of which are monitored every other month by the City of Jacksonville for nutrients and chlorophyll a with one additional site monitored continuously by the SECN for pH, dissolved oxygen, temperature, salinity, specific conductance (to compute salinity) , turbidity and water level. Fixed-station water-quality monitoring at TIMU is part of the SECN Inventory &amp; Monitoring Program, which routinely collects data at seven coastal parks located along the southeastern U.S. coast. Summary findings below are based on continuous data and bimonthly discrete sampling collected between January 1 and December 31 2012. Salinity levels at Kingsley Plantation dipped to their lowest levels of 12.5 ppt in late June in response to the nearly 16 inches of rain that fell during Tropical Storm Debby. The average monthly high was 36.3 ppt in May, and the average monthly low was 30.2 ppt in July. pH values were consistent throughout the year with monthly averages ranging from 7.9 to 8.1. The lowest pH readings also coincided with Tropical Storm Debby in late June. Turbidity values were generally low throughout the year with the highest monthly average of 9.3 NTUs in June, and the highest individual reading of 104.9 NTUs in November. Water temperature throughout the year was consistent with previous years. The lowest monthly average was 16.5°C (61.7°F) in February, and the highest monthly average was 29.1°C (84.38°F) in July. In 2012, 39% of continuous monitoring data were missing or considered anomalous and were not considered in analysis. In December of 2012, the sonde mount was determined to be compromised to a point where accurate collection of dissolved oxygen data was not possible. Because it could not be determined when this occurred, all dissolved oxygen data collected in 2012 were flagged as suspect. Elevated levels of orthophosphate (Dissolved Inorganic Phosphate / DIP) were the most common cause of poor water-quality ratings during 2012. Discrete bimonthly water-quality sampling indicated elevated DIP levels at all sites sampled in TIMU in March, and all but three sites in October. High levels of orthophosphate were recorded for every sample taken at TIM1 and TIM2, the most upstream sites on the Nassau River. Chlorophyll a, dissolved oxygen (when measured during discrete nutrient sampling), and dissolved inorganic nitrogen levels rated as either good or fair throughout the year. Water clarity rated good for all but three samples during 2012. TIM1 in June was fair along with TIM2 in October. The only poor water-clarity reading was at TIM6 in January.
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3

Whitaker, Stephen. Rocky intertidal community monitoring at Channel Islands National Park: 2018–19 annual report. National Park Service, 2023. http://dx.doi.org/10.36967/2299674.

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Channel Islands National Park includes the five northern islands off the coast of southern California (San Miguel, Santa Rosa, Santa Cruz, Anacapa, and Santa Barbara Islands) and the surrounding waters out one nautical mile. There are approximately 176 miles of coastline around the islands, about 80% of which is composed of rock. The diversity and undisturbed nature of the tidepools of this rocky coastline were recognized as special features of the islands in the enabling legislation. To conserve these communities unimpaired for future generations, the National Park Service has been monitoring the rocky intertidal communities at the islands since 1982. Sites were established between 1982 and 1998. Site selection considered visitation, accessibility, presence of representative organisms, wildlife disturbance, and safety. This report summarizes the 2018–2019 sampling year efforts (from November 2018 to April 2019) and findings of the Channel Islands National Park Rocky Intertidal Community Monitoring Program. Specific monitoring objectives are 1) to determine the long-term trends in percent cover of key sessile organisms in the rocky intertidal ecosystem, and 2) to determine population dynamics of black abalone (Haliotis cracherodii), owl limpets (Lottia gigantea), and ochre sea stars (Pisaster ochraceus). Objectives were met by monitoring percent cover of core species in target intertidal zones using photoplots and transects, and by measuring size frequency and abundance of black abalone, owl limpets, and sea stars using fixed plots or timed searches. Twelve key species or assemblages, as well as the substrate, tar, have been monitored twice per year at 21 sites on the five park islands as part of the rocky intertidal community monitoring program. Fixed photoplots were used to monitor the percent cover of thatched and acorn barnacles (Tetraclita rubescens, Balanus glandula/Chthamalus spp., respectively), mussels (Mytilus californianus), rockweeds (Silvetia compressa, and Pelvetiopsis californica (formerly Hesperophycus californicus), turfweed (Endocladia muricata), goose barnacles (Pollicipes polymerus) and tar. Point-intercept transects were used to determine the percent cover of surfgrass (Phyllospadix spp.). Information about size distribution (i.e., “size frequency” data) was collected for owl limpets in circular plots. Size distribution and relative abundance of black abalone and ochre sea stars were determined using timed searches. The maximum number of shorebirds and pinnipeds seen at one time were counted at each site. The number of concession boat visitors to the Anacapa tidepools was collected and reported. All sites were monitored in 2018–2019. This was the third year that we officially reduced our sampling interval from twice per year (spring and fall) to once in order to streamline the program and allow for the implementation of additional protocols. Weather conditions during the site visits were satisfactory, but high wind coupled with strong swell and surge limited or prevented the completion of some of the abalone and sea star searches. The percent cover for most key species or assemblages targeted in the photoplots was highly variable among sites. Mussel (Mytilus californianus) cover remained below average at Anacapa and Santa Barbara Islands. Record or near record low abundances for Mytilus were measured at Middle West Anacapa (Anacapa Island), Harris Point (San Miguel Island), Prisoner’s Harbor (Santa Cruz Island), and Sea Lion Rookery (Santa Barbara Island) sites. The only site that appeared to have above average Mytilus cover was Scorpion Rock on Santa Cruz Island. All other sites had mussel cover near or below the long-term mean. Qualitatively, Mytilus recruitment appeared low at most sites. Both rockweed species, Silvetia compressa and Pelvetiopsis californica (formerly Hesperophycus californicus), continued to decrease markedly in abundance this year at the majority of sites compared to combined averages for previous years. Fossil Reef and Northwest-Talcott on Santa Rosa Island, Sea Lion Rookery on Santa Barbara Island, and South Frenchy’s Cove on Anacapa Island were the only sites that supported Silvetia cover that was near the long-term mean. No sites exhibited above average cover of rockweed. Extremely high levels of recruitment for Silvetia and Pelvetiopsis were documented at many sites. Most sites exhibited marked declines in S. compressa abundances beginning in the early 2000s, with little recovery observed for the rockweed through this year. Barnacle (Chthamalus/Balanus spp.) cover fell below the long-term means at all islands except Anacapa, where barnacle cover was slightly above average. Endocladia muricata abundances remained comparable to the grand mean calculated for previous years at Santa Barbara, Santa Cruz, and Santa Rosa Islands, while cover of the alga decreased slightly below the long-term means at Anacapa and San Miguel Islands. Black abalone (Haliotis cracherodii) abundances at the islands remain less than one percent of 1985 population levels. Zero abalone were found throughout the entire site at Landing Cove on Santa Barbara Island and South Frenchy’s Cove on Anacapa Island. Above average abundances relative to the long-term mean generated from post-1995 data were observed at all but five sites. Juvenile black abalone were seen at all islands except Santa Barbara. Ochre sea star (Pisaster ochraceus) populations crashed in 2014 at all monitoring sites due to Sea Star Wasting Syndrome, an illness characterized by a suite of symptoms that generally result in death. The mortality event was widely considered to be the largest mortality event for marine diseases ever seen. Beginning in June 2013, the disease swiftly and significantly impacted P. ochraceus (among other species of sea stars) populations along the North American Pacific coast from Alaska to Baja California, Mexico. By the beginning of 2014, P. ochraceus abundances had declined by &gt;95% at nearly all Channel Islands long-term intertidal monitoring sites, in addition to numerous other locations along the West Coast. At various times during the past decade, extremely high abundances (~ 500 P. ochraceus) have been observed at multiple sites, and most locations have supported &gt;100 sea stars counted during 30-minute site-wide searches. This year, abundances ranged 0–13 individuals per site with all but one site having fewer than 10 P. ochraceus seen during routine searches. Insufficient numbers of sea stars were seen to accurately estimate the size structure of P. ochraceus populations. Only two juveniles (i.e., &lt;50 mm) were observed at all sites combined. Giant owl limpet densities in 2018–2019 were comparable or slightly above the long-term mean at seven sites. Exceptionally high densities were measured at Northwest-Talcott on Santa Rosa Island, Otter Harbor on San Miguel Island, and Willows Anchorage on Santa Cruz Island. The sizes of L. gigantea this year varied among sites and islands. The smallest L. gigantea were observed at Otter Harbor followed closely by Willows Anchorage and Anacapa Middle West, and the largest were seen at Northwest-Talcott. Temporally, the mean sizes of L. gigantea in 2018–2019 decreased below the long-term mean at each island except Anacapa. Surfgrasses (Phyllospadix spp.) are typically monitored biannually at two sites each on Santa Cruz and Santa Rosa Islands. Beginning in 2015, all transects at each of the monitoring sites were only sampled once per year. At East Point on Santa Rosa Island, the conditions were not conducive to sampling the surfgrass transects, but qualitatively, percent cover of surfgrass appeared to be near 100% on all three transects. Relative to past years, cover of surfgrass increased above the long-term mean at Fraser Cove on Santa Cruz Island, fell slightly below the mean at Trailer on Santa Cruz Island, and remained approximately equivalent to the mean at the two Santa Rosa Island sites. Overall, the abundance and diversity of shorebirds in 2018–2019 at all sites appeared similar to observations made in recent years, with the exception of elevated numbers of brown pelicans (Pelecanus occidentalis) observed at East Point on Santa Rosa Island. Black oystercatchers (Haematopus bachmani) were the most ubiquitous shorebird seen at all sites. Black turnstones (Arenaria melanocephala) were not common relative to past years. Pinniped abundances remained comparable in 2018–2019 to historical counts for all three species that are commonly seen at the islands. Harbor seals (Phoca vitulina) were seen in the vicinity of eight sites this year. As in past years, harbor seals were most abundant at Otter Harbor and Harris Point on San Miguel Island. Elephant seals (Mirounga angustirostris) were seen at six sites during the year, where abundances ranged 1–5 individuals per location. California sea lions (Zalophus californianus) were common at Santa Barbara Island; 117 individuals were observed at Sea Lion Rookery. Sea lion abundances were higher than usual at Harris Point (N = 160) and Otter Harbor (N = 82) on San Miguel Island. Relative to past years, abundances this year were considered average at other locations.
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4

Carter, J., and N. L. Hastings. Current state of coastal change monitoring and mapping in Canada: towards a national framework. Natural Resources Canada/CMSS/Information Management, 2024. http://dx.doi.org/10.4095/pzkcg43b8e.

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Les populations et les établissements côtiers du Canada exigeront des planificateurs de l'utilisation des sols et des autres décideurs qu'ils comprennent les risques et l'instabilité potentielle des environnements côtiers au Canada. Les variations naturelles des environnements côtiers seront exacerbées par les impacts continus du changement climatique - élévation du niveau de la mer et augmentation des tempêtes. En réponse à cette situation, des chercheurs de Ressources naturelles Canada ont procédé à un examen approfondi des pratiques existantes dans tout le pays pour détecter et surveiller les changements côtiers afin d'élaborer un cadre pancanadien. Par le passé, la Commission géologique du Canada a mené des recherches sur les changements côtiers et la sensibilité au niveau de la mer, en partenariat avec des agences provinciales lorsque cela était possible. Cependant, les programmes de surveillance sont actuellement ponctuels, bien que des efforts soient en cours pour rassembler les informations historiques dans une seule base de données SIG qui sera accessible au public. Compte tenu de l'évolution du climat et de l'augmentation des risques pour la société, il est nécessaire de redynamiser un cadre national pour l'étude des changements côtiers. Cette étude donne un aperçu de la méthodologie la plus récente et de la compréhension du changement côtier au Canada et documente les ensembles de données provinciales et territoriales qui utilisent une variété de formats, de méthodes et d'approches. C'est dans le Canada atlantique que les données sur le changement côtier au Canada sont les plus complètes. Les côtes de l'Arctique et de la baie d'Hudson souffrent d'un manque de couverture, tandis que la côte du Pacifique manque de données quantitatives sur le changement côtier (mais est décrite en détail dans les données qualitatives). Les deux principales méthodes utilisées dans la recherche sur les changements côtiers sont le suivi des changements à partir de l'imagerie aérienne et les enquêtes sur le terrain utilisant soit des mesures de distance à partir de points fixes, soit des traces GPS différentielles. Cependant, certaines sources décrivent l'utilisation de relevés par drones aériens et de la photogrammétrie comme des techniques émergentes. Divers systèmes de classification des données sur les changements côtiers sont utilisés par différentes institutions ; une comparaison de ces systèmes a permis de produire trois prototypes pour un éventuel système national unifié de classification des changements côtiers. Cette étude met en lumière l'état actuel de la recherche sur les changements côtiers au Canada, en indiquant les méthodes utilisées et les domaines nécessitant des améliorations. Les données quantitatives concernant la côte pacifique permettront d'égaler les recherches effectuées dans le secteur atlantique, tandis que la côte de la baie d'Hudson et l'intérieur de l'archipel arctique canadien semblent être collectivement sous-étudiés.
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