Academic literature on the topic 'Common fixed point theorem'

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Journal articles on the topic "Common fixed point theorem"

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Prajisha, E., and P. Shaini. "Common fixed point and common coupled fixed point theorems for weakly monotone mappings." Boletim da Sociedade Paranaense de Matemática 42 (May 3, 2024): 1–10. http://dx.doi.org/10.5269/bspm.62992.

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In this paper we have established two common fixed point theorems which are variants of the fixed point theorem of Boyd and Wong [On nonlinear contractions, Proc. Amer. Math. Soc. 20(1969), 458-464]. By applying the newly established fixed point theorems two common coupled fixed point theorems have been proved for a pair of weakly increasing mappings. Examples are given to substantiate our theorems.
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Ume, Jeong Sheok, and Jong Kyu Kim. "Common fixed point theorems for two mappings satisfying some conditions." Bulletin of the Australian Mathematical Society 62, no. 1 (2000): 75–85. http://dx.doi.org/10.1017/s0004972700018499.

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In this paper, using the concept of w-distance, we first prove common fixed point theorems in a complete metric space. Then these theorems are used to improve Kannan's fixed point theorem, Ćirić's fixed point theorem, Kada, Suzuki and Takahashi's fixed point theorem and Ume's fixed point theorem.
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Du, Wei-Shih. "The Existence of Cone Critical Point and Common Fixed Point with Applications." Journal of Applied Mathematics 2011 (2011): 1–22. http://dx.doi.org/10.1155/2011/985797.

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We first establish some new critical point theorems for nonlinear dynamical systems in cone metric spaces or usual metric spaces, and then we present some applications to generalizations of Dancš-Hegedüs-Medvegyev's principle and the existence theorem related with Ekeland's variational principle, Caristi's common fixed point theorem for multivalued maps, Takahashi's nonconvex minimization theorem, and common fuzzy fixed point theorem. We also obtain some fixed point theorems for weakly contractive maps in the setting of cone metric spaces and focus our research on the equivalence between scala
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Singh, Dr Dhirendra Kumar, and Sandhya Singh. "FIXED POINT AND COMMON FIXED POINT THEOREM FOR MULTIVALUED MAPPINGS FOR BANACH SPACE." INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCH 10, no. 12 (2022): 3090–92. http://dx.doi.org/10.47191/ijmcr/v10i12.15.

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In this Paper we will investigate some fixed point and common fixed point theorem for multivalued mappings of Banach space. We show that an extended form of many Known results taking multivalued mappings and inequities. The general form of a result proved by Banach Space and Convergence for multivalued mappings in fixed point and common fixed point which contains new generalized form of Theorem.
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Satyaj, Tiwari, and Kumar Dewangan Lokesh. "Fixed Point and Common Fixed Point Theorems for Single Valued and Multivalued Mappings in Partial b-Metric Spaces." Indian Journal of Science and Technology 17, no. 1 (2024): 59–64. https://doi.org/10.17485/IJST/v17i1.2853.

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Abstract <strong>Objectives:</strong>&nbsp;To prove some fixed point theorems and common fixed point theorems by using partial b-metric spaces.&nbsp;<strong>Methods:</strong>&nbsp;Ciric type contraction for single-valued mapping is also used to prove fixed point theorem and Nadler's type Banach contraction is used to produce fixed point and common fixed point theorems.&nbsp;<strong>Findings:</strong>&nbsp;We have to find fixed point and common fixed point theorems for single valued mapping and a fixed point theorem for multivalued mapping.&nbsp;<strong>Novelty :</strong>&nbsp;We have to use a
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Satish, Shukla¬1 &. Shweta Rai2. "COINCIDENCE POINT AND COMMON FIXED POINT FOR WEAKLY COMPATIBLE MAPPINGS IN METRIC SPACES." GLOBAL JOURNAL OF ENGINEERING SCIENCE AND RESEARCHES [FRTSSDS- June 2018] (June 20, 2018): 131–36. https://doi.org/10.5281/zenodo.1293825.

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Recently, Jaroslaw Gornicki(Fixed Point Theorem and&nbsp; Appl. 2017:9, 2017) introduced a new concept of -expansion mappings and proved a fixed point theorem for such mappings. Following this direction of research, in this paper, some coincidence point and common fixed point theorems has been proved for weakly compatible -expanding mappings.
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Taş, Kenan, Mustafa Telci, and Brian Fisher. "Common fixed point theorems for compatible mappings." International Journal of Mathematics and Mathematical Sciences 19, no. 3 (1996): 451–56. http://dx.doi.org/10.1155/s0161171296000646.

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By using a compatibility condition due to Jungck we establish some common fixed point theorems for four mappings on complete and compact metric spaces These results also generalize a theorem of Sharma and Sahu.
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Fisher, Brian. "A common fixed point theorem." Publicationes Mathematicae Debrecen 32, no. 1-2 (2022): 73–74. http://dx.doi.org/10.5486/pmd.1985.32.1-2.09.

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Thangaraj, Beaula #. "Some Common Fixed Point Results in 2-Fuzzy 2-Rectangular Metric Spaces." Mathematical statistics and engineering applications 71, no. 4 (2022): 932–40. https://doi.org/10.5281/zenodo.7505253.

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The concept of fuzzy set was introduced by L.A.Zadeh(1965) [10] in his seminal paper. Shen et al.(2012)[8] introduced the notion of control function of fuzzy metric spaces. Nagoor Gani and Mohamed Althaf (2018)[5] established some results on fixed point theorem by using control function. Bose and Sahani (1987)[1] have studied the fixed point theorem for fuzzy mapping coincidence points. Fang (1992) [2] developed fixed point theorems for different types of mapping. Soni (2018)[7] came with a new class of implict function to prove the concept of fixed point theorems in fuzzy metric space and its
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Bouzkoura, Khadija, and Said Benkaddour. "Some Common Fixed Point Theorems in Partially Ordered Sets." Journal of Applied Mathematics 2020 (October 21, 2020): 1–5. http://dx.doi.org/10.1155/2020/4707962.

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The purpose of this paper is to prove some new fixed point theorem and common fixed point theorems of a commuting family of order-preserving mappings defined on an ordered set, which unify and generalize some relevant fixed point theorems.
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Dissertations / Theses on the topic "Common fixed point theorem"

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Sondjaja, Mutiara. "Sperner's Lemma Implies Kakutani's Fixed Point Theorem." Scholarship @ Claremont, 2008. https://scholarship.claremont.edu/hmc_theses/214.

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Kakutani’s fixed point theorem has many applications in economics and game theory. One of its most well known applications is in John Nash’s paper [8], where the theorem is used to prove the existence of an equilibrium strategy in n-person games. Sperner’s lemma, on the other hand, is a combinatorial result concerning the labelling of the vertices of simplices and their triangulations. It is known that Sperner’s lemma is equivalent to a result called Brouwer’s fixed point theorem, of which Kakutani’s theorem is a generalization. A natural question that arises is whether we can prove Kakutani’s
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Nazaikinskii, Vladimir, Bert-Wolfgang Schulze, Boris Sternin, and Victor Shatalov. "A Lefschetz fixed point theorem for manifolds with conical singularities." Universität Potsdam, 1997. http://opus.kobv.de/ubp/volltexte/2008/2507/.

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Cloutier, John. "A Combinatorial Analog of the Poincaré–Birkhoff Fixed Point Theorem." Scholarship @ Claremont, 2003. https://scholarship.claremont.edu/hmc_theses/145.

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Results from combinatorial topology have shown that certain combinatorial lemmas are equivalent to certain topologocal fixed point theorems. For example, Sperner’s lemma about labelings of triangulated simplices is equivalent to the fixed point theorem of Brouwer. Moreover, since Sperner’s lemma has a constructive proof, its equivalence to the Brouwer fixed point theorem provides a constructive method for actually finding the fixed points rather than just stating their existence. The goal of this research project is to develop a combinatorial analogue for the Poincare ́-Birkhoff fixed point th
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Sracic, Mario F. "A Self-Contained Review of Thompson's Fixed-Point-Free Automorphism Theorem." Youngstown State University / OhioLINK, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=ysu1403191722.

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Sarkar, Koushik. "Topology of different metric spaces and fixed point theories." Thesis, University of North Bengal, 2021. http://ir.nbu.ac.in/handle/123456789/4380.

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Sugiyama, Toshi. "The Moduli Space of Polynomial Maps and Their Fixed-Point Multipliers." Kyoto University, 2018. http://hdl.handle.net/2433/233819.

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Maagli, Nadia <1987&gt. "Fixed point, game and selection theory: from the hairy ball theorem to a non hair-pulling conversation." Doctoral thesis, Università Ca' Foscari Venezia, 2016. http://hdl.handle.net/10579/8840.

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This PHD dissertation develops fixed point theory issues. Fixed point theory is at the heart of the nonlinear analysis. One amongst the first and famous results is Brouwer's fixed point theorem (1910). Two years after, Brouwer proved another topological result. The first chapter of this thesis is dedicated to this result. Namely, the hairy ball theorem. We introduced an equivalent version of the hairy ball theorem in the form of a `fixed point theorem'. In this way, ensuring the proof of this equivalent theorem gives a new insight on the hairy ball theorem. On the other hand, the theorem of
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Okon, Thomas. "When graph meets diagonal: an approximative access to fixed point theory." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2001. http://nbn-resolving.de/urn:nbn:de:swb:14-1000223151750-26347.

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Peterson, Elisha. "Combinatorial Proofs of Generalizations of Sperner's Lemma." Scholarship @ Claremont, 2000. https://scholarship.claremont.edu/hmc_theses/124.

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In this thesis, we provide constructive proofs of serveral generalizations of Sperner's Lemma, a combinatorial result which is equivalent to the Brouwer Fixed Point Theorem. This lemma makes a statement about the number of a certain type of simplices in the triangulation of a simplex with a special labeling. We prove generalizations for polytopes with simplicial facets, for arbitrary 3-polytopes, and for polygons. We introduce a labeled graph which we call a nerve graph to prove these results. We also suggest a possible non-constructive proof for a polytopal generalization.
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Garcia, Ignacio de Mateo. "Iterative matrix-free computation of Hopf bifurcations as Neimark-Sacker points of fixed point iterations." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, 2012. http://dx.doi.org/10.18452/16478.

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Klassische Methoden für die direkte Berechnung von Hopf Punkten und andere Singularitaten basieren auf der Auswertung und Faktorisierung der Jakobimatrix. Dieses stellt ein Hindernis dar, wenn die Dimensionen des zugrundeliegenden Problems gross genug ist, was oft bei Partiellen Diferentialgleichungen der Fall ist. Die betrachteten Systeme haben die allgemeine Darstellung f ( x(t), α) für t grösser als 0, wobei x die Zustandsvariable, α ein beliebiger Parameter ist und f glatt in Bezug auf x und α ist. In der vorliegenden Arbeit wird ein Matrixfreies Schema entwicklet und untersucht, dass
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Books on the topic "Common fixed point theorem"

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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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Cai, Zongxi. Deng zhou wen ti. Ke xue chu ban she, 2002.

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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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Book chapters on the topic "Common fixed point theorem"

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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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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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Nazam, Muhammad, Choonkil Park, and Muhammad Arshad. "Common Fixed Point Theorems for Four Maps." In Advances in Metric Fixed Point Theory and Applications. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-33-6647-3_12.

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Mbarki, Abderrahim, and Rachid Oubrahim. "Common Fixed Point Theorems in b-Menger Spaces." In Recent Advances in Intuitionistic Fuzzy Logic Systems. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-02155-9_22.

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Gopal, Dhananjay, and Juan Martinez Moreno. "Common Fixed-Point Theorems in Fuzzy Metric Spaces." In Recent Advances and Applications of Fuzzy Metric Fixed Point Theory. Chapman and Hall/CRC, 2023. http://dx.doi.org/10.1201/9781003427797-5.

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Gupta, Vishal, Mohammad Saeed Khan, Aanchal, and Ishit Sehgal. "Common Fixed Point Results in Soft b-Metric Spaces with Application." In Recent Developments in Fixed-Point Theory. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-99-9546-2_14.

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Cegielski, Andrzej, and Yair Censor. "Opial-Type Theorems and the Common Fixed Point Problem." In Springer Optimization and Its Applications. Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4419-9569-8_9.

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Saini, R. K., Naveen Mani, and Vishal Gupta. "Modified Integral Type Weak Contraction and Common Fixed Point Theorem with an Auxiliary Function." In Advances in Intelligent Systems and Computing. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-0589-4_11.

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Petruşel, A., and I. A. Rus. "The Relevance of a Metric Condition on a Pair of Operators in Common Fixed Point Theory." In Advances in Metric Fixed Point Theory and Applications. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-33-6647-3_1.

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Saluja, G. S., Reena Jain, and Hemant Kumar Nashine. "On Common Fixed Point Results for Integral Type Contractive Conditions in $$\varOmega $$-Metric Spaces and Application to Integral Equations." In Advances in Functional Analysis and Fixed-Point Theory. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-99-9207-2_4.

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Conference papers on the topic "Common fixed point theorem"

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Xia, Ziqing, Mei Su, and Zhangjie Liu. "A Solvability Condition of Decoupled Reactive Power Flow Based on Banach's Fixed-Point Theorem." In 2024 IEEE 9th Southern Power Electronics Conference (SPEC). IEEE, 2024. https://doi.org/10.1109/spec62217.2024.10892808.

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Dosenovic, Tatjana. "Common fixed point theorem in fuzzy metric spaces." In 2009 7th International Symposium on Intelligent Systems and Informatics (SISY). IEEE, 2009. http://dx.doi.org/10.1109/sisy.2009.5291189.

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Raju, Bathini, and V. Nagaraju. "Common fixed point theorem for weakly semi compatible mappings." In INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS (ICMSA-2019). AIP Publishing, 2020. http://dx.doi.org/10.1063/5.0014966.

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Dosenovic, Tatjana. "Common fixed point theorem in complete fuzzy metric spaces." In 2010 IEEE 8th International Symposium on Intelligent Systems and Informatics (SISY 2010). IEEE, 2010. http://dx.doi.org/10.1109/sisy.2010.5647124.

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Sriramula, Ravi, and Srinivas V. "Common fixed point theorem on semicompatible mappings in metric space." In INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS (ICMSA-2019). AIP Publishing, 2020. http://dx.doi.org/10.1063/5.0014435.

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Yang, Weixu, Zhenhua Jiao, Zhifeng Zhang, and Conghao Jin. "A Common Fixed Point Theorem in Intuitionistic Fuzzy Metric Spaces." In 2012 5th International Workshop on Chaos-Fractals Theories and Applications (IWCFTA). IEEE, 2012. http://dx.doi.org/10.1109/iwcfta.2012.10.

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Dosenovic, Tatjana. "On a common fixed point theorem in quasi-uniformizable spaces." In 2011 IEEE 9th International Symposium on Intelligent Systems and Informatics (SISY 2011). IEEE, 2011. http://dx.doi.org/10.1109/sisy.2011.6034295.

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Kuczumow, Tadeusz, and Małgorzata Michalska. "The common fixed point set of commuting nonexpansive mappings in Cartesian products of separable spaces." In Fixed Point Theory and its Applications. Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc77-0-13.

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Aserkar, Anushree A., Manjusha P. Gandhi, and Shiney Chib. "Unique common fixed point theorem using simulation function fulfilling common limit in the range property." In SECOND ONLINE INTERNATIONAL CONFERENCE ON RESEARCH FRONTIERS IN SCIENCES. AIP Publishing, 2024. http://dx.doi.org/10.1063/5.0224561.

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Sedghi, Shaban, Somayeh Ghayekhloo, and Solaleh Salimi. "A Common Fixed Point Theorem in Two Complete L‐Fuzzy Metric Spaces." In ICMS INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCE. American Institute of Physics, 2010. http://dx.doi.org/10.1063/1.3525128.

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Reports on the topic "Common fixed point theorem"

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Wos, L., and W. McCune. Searching for fixed point combinators by using automated theorem proving: A preliminary report. Office of Scientific and Technical Information (OSTI), 1988. http://dx.doi.org/10.2172/6852789.

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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-opera
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Smith, Donald L., Denise Neudecker, and Roberto Capote Noy. Investigation of the Effects of Probability Density Function Kurtosis on Evaluated Data Results. IAEA Nuclear Data Section, 2018. http://dx.doi.org/10.61092/iaea.yxma-3y50.

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In two previous investigations that are documented in this IAEA report series, we examined the effects of non-Gaussian, non-symmetric probability density functions (PDFs) on the outcomes of data evaluations. Most of this earlier work involved considering just two independent input data values and their respective uncertainties. They were used to generate one evaluated data point. The input data are referred to, respectively, as the mean value and standard deviation pair (y0,s0) for a prior PDF p0(y) and a second mean value and standard deviation pair (ye,se) for a likelihood PDF pe(y). Concept
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Smith, Donald L., Denise Neudecker, and Roberto Capote Noy. Investigation of the Effects of Probability Density Function Kurtosis on Evaluated Data Results. IAEA Nuclear Data Section, 2020. http://dx.doi.org/10.61092/iaea.nqsh-f02d.

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In two previous investigations that are documented in this IAEA report series, we examined the effects of non-Gaussian, non-symmetric probability density functions (PDFs) on the outcomes of data evaluations. Most of this earlier work involved considering just two independent input data values and their respective uncertainties. They were used to generate one evaluated data point. The input data are referred to, respectively, as the mean value and standard deviation pair (y0,s0) for a prior PDF p0(y) and a second mean value and standard deviation pair (ye,se) for a likelihood PDF pe(y). Concept
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Smith, D. L., D. Neudecker, and R. Capote Noy. Investigation of the Effects of Probability Density Function Kurtosis on Evaluated Data Results. IAEA Nuclear Data Section, 2020. http://dx.doi.org/10.61092/iaea.3ar5-xmp8.

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In two previous investigations that are documented in this IAEA report series, we examined the effects of non-Gaussian, non-symmetric probability density functions (PDFs) on the outcomes of data evaluations. Most of this earlier work involved considering just two independent input data values and their respective uncertainties. They were used to generate one evaluated data point. The input data are referred to, respectively, as the mean value and standard deviation pair (y0,s0) for a prior PDF p0(y) and a second mean value and standard deviation pair (ye,se) for a likelihood PDF pe(y). Concept
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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
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