Academic literature on the topic 'Contraction mapping and fixed point'

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Journal articles on the topic "Contraction mapping and fixed point"

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C. Ushabhavani. "On Certain Fixed Points for (α,φ,F)-Contraction on S_b- Metric Spaces with Applications". Advances in Nonlinear Variational Inequalities 27, № 2 (2024): 360–74. http://dx.doi.org/10.52783/anvi.v27.972.

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This work establishes unique fixed point theorems (UFPT) for self mapping in complete S_b-metric spaces (S_b-MS) with the concept of (α,φ,F)-contraction in the context of S_b-MS Furthermore, we show how the results may be used and present applications to integral equations and homotopy theory. Introduction: In previous work authors were discussed fixed pointon various metric spaces with F -contractions, α-type almost -F- contractions, α-type F -Suzuki contractions, (φ, F)-contraction, F - weak contractions, α −ψ-contractive type, α −ψ-Meir-Keeler contractive mapping, α-ratonal contractive mappings, (α, β) − (φ,ψ)-rational contractive type mappings. Objectives: Finding the unique fixed point for self mapping in S_b-MS, via (α,φ,F)-contraction. Methods: with the help of α- admisible mapping, (φ, F)-contraction, α type F -contraction and (α.φ,F)-contraction we have fixed point findings in complete S_b-metric spaces. Results: we obtained unique fixed point results via (α,φ,F) contractive type for self mapping in complete S_b-MS. Conclusions: In this article, Contractive mappings of the (α,φ,F) type are used to show certain fixedpoint results in the context of S_b-MS, along with appropriate example that illustrate the key findings. Appications to integral equations and homotopy are also offered.
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Kavvampalli Jyothirmayi Rani. "Some Applications via Coupled Fixed Point Theorems for (????, ????)-H-Contraction Mappings in Partial b- Metric Spaces." Communications on Applied Nonlinear Analysis 31, no. 5s (2024): 351–71. http://dx.doi.org/10.52783/cana.v31.1055.

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This work establishes unique common coupled fixed point theorems for given mapping in complete partial b-metric spaces with the concept of (α, ϕ)-H-contraction in the context of partial b-metric spaces. (α, ϕ)-H-contraction Furthermore, we show how the results may be used and present applications to integral equations and Homotopy theory. Introduction In previous work, authors have discussed various fixed point theorems on partial b-metric spaces with (ψ, ϕ)-weakly contractive mappings, α−ψ-contractive type, Suzuki type contractions, rational contraction and H-weak contractions. In our work, with the help of (α, ϕ)-H-contraction, we investigated coupled fixed point theorems in partial b-metric spaces. Objectives: Finding the unique common fixed points for a given mapping in partial b-metric spaces via (α, ϕ)-H-contraction Methods with the help of α-admissible mapping, H-rational type, (α, ϕ)−H-contraction we have shown coupled fixed point findings in complete partial b-metric spaces Results: We obtained unique common coupled fixed point results via (α, ϕ)−H-contraction type for the given mapping in complete partial b-metric spaces. Conclusions: This present study uses contractive mappings of the H type in the reference of partial b-metric space to give some fixed point results, appropriate examples that illustrate the main findings, In addition, boundary value problems and homotopy applications are given.
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K. Varalakshmi. "Fixed Point Results in G Metric Space via Α-Series". Communications on Applied Nonlinear Analysis 32, № 6s (2025): 275–89. https://doi.org/10.52783/cana.v32.3294.

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Introduction: Mustafa and sims [1] introduced the concept of G-metric space in 2005. Afterwards, Mustafa et al and many authors [3]-[19] obtained some common fixed-point theorems, coupled and tripled fixed point results for mappings satisfying different contractive conditions in G metric space. In this study we prove fixed point results in G metric space via α-series by using some conditions that are a sequence of a mappings and a self-mapping. Objectives: To show tripled fixed-point theorems and common fixed point theorems by using sequence of mappings and self a self-mapping via α-series and shown an example which supports the main result. Methods: In recent study the authors worked on fixed point results by using different contractions such as Suzuki type contraction, Rational type contraction, cyclic contraction, F-contraction, Mier keeler contraction, (ψ, ϕ)-weakly contractive mappings and Integral type contractions etc. in G-metric spaces. In this study we proved fixed point results in G metric space via α-series by using sequence of mappings. Results: Obtained Unique common fixed point and tripled fixed point results in G metric spcace via α-series. Conclusion: In this study we present unique tripled fixed-point and common fixed-point results for a sequence of mappings and a self-mapping in G metric space via α-series and discussed corollary with supporting example.
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NITHIARAYAPHAKS, WORAPHAK, and WUTIPHOL SINTUNAVARAT. "On approximating fixed points of weak enriched contraction mappings via Kirk's iterative algorithm in Banach spaces." Carpathian Journal of Mathematics 39, no. 2 (2022): 423–32. http://dx.doi.org/10.37193/cjm.2023.02.07.

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Recently Berinde and Păcurar [Approximating fixed points of enriched contractions in Banach spaces. {\em J. Fixed Point Theory Appl.} {\bf 22} (2020), no. 2., 1--10], first introduced the idea of enriched contraction mappings and proved the existence of a fixed point of an enriched contraction mapping using the well-known fact that any fixed point of {the averaged mapping $T_\lambda$, where $\lambda\in (0,1]$, is also a fixed point of the initial mapping $T$}. In this work, we introduce the idea of weak enriched contraction mappings, and a new generalization of an averaged mapping called double averaged mapping. The first attempt is to prove the existence and uniqueness of the fixed point of a double averaged mapping associated with a weak enriched contraction mapping. Based on this result on Banach spaces, we give some sufficient conditions for the equality of all fixed points of a double averaged mapping and the set {of all fixed points of a weak enriched contraction mapping.} Moreover, our results show that an appropriate Kirk's iterative algorithm can be used to approximate a fixed point of a weak enriched contraction mapping. An illustrative example for showing the efficiency of our results is given.
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Babenko, V. F., V. V. Babenko, and O. V. Kovalenko. "Fixed sets and fixed points for mappings in generalized $\rm Lim$-spaces of Fréchet." Carpathian Mathematical Publications 15, no. 1 (2023): 260–69. http://dx.doi.org/10.15330/cmp.15.1.260-269.

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In the article, we axiomatically define generalized $\rm Lim$-spaces $(X,{\rm Lim})$, Cauchy structures, contractive mappings and prove an abstract version of the contraction mapping principle. We also consider ways to specify families of Cauchy sequences and contraction conditions using a base in $X^2$, distance-like or sum-like functions with values in some partially ordered set $Y$. We establish fixed set and fixed point theorems for generalized contractions of the Meir-Keeler and Taylor, Ćirić and Caristi types. The obtained results generalize many known fixed point theorems and are new even in many classical situations.
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Chakar, Randa, Sofiane Dehilis, Wassim Merchela та Hamza Guebbai. "ρ-F-contraction fixed point theorem". Russian Universities Reports. Mathematics, № 148 (2024): 485–93. https://doi.org/10.20310/2686-9667-2024-29-148-485-493.

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In this paper, we study the question of conditions for the existence and uniqueness of a fixed point of a mapping over a complete metric space. We first discuss the concepts of F- contraction and F^*-contraction in fixed point theory. These concepts, developed respectively by Wardowski and Piri with Kumam, have catalyzed significant research in various metric spaces. We then propose a generalization of these concepts, ρ-F-contraction and ρ-F^*-contraction, and demonstrate its effectiveness in ensuring the existence and uniqueness of fixed points. This new approach provides greater flexibility by including a function ρ that modulates the contraction, extending the applicability of F- and F^*-contractions. We conclude the paper with an example of a mapping that is a ρ-F-contraction and a ρ-F^*-contraction, respectively, and has a unique fixed point. However, this mapping does not satisfy the conditions of Wardowski and the conditions of Piri and Kumam.
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Fulga, Andreea, and Erdal Karapınar. "Revisiting of some outstanding metric fixed point theorems via E-contraction." Analele Universitatii "Ovidius" Constanta - Seria Matematica 26, no. 3 (2018): 73–98. http://dx.doi.org/10.2478/auom-2018-0034.

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AbstractIn this paper, we introduce the notion of α-ψ-contractive mapping of type E, to remedy of the weakness of the existing contraction mappings. We investigate the existence and uniqueness of a fixed point of such mappings. We also list some examples to illustrate our results that unify and generalize the several well-known results including the famous Banach contraction mapping principle.
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Ciric, Ljubomir, Sumit Chandok, and Mujahid Abbas. "Invariant approximation results of generalized contractive mappings." Filomat 30, no. 14 (2016): 3875–83. http://dx.doi.org/10.2298/fil1614875c.

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Abbas, Ali and Salvador [Fixed and periodic points of generalized contractions in metric spaces, Fixed Point Theory Appl. 2013, 2013:243] extended the concept of F- contraction mapping introduced in [21], to two mappings. The aim of this paper is to introduce the notion of a generalized F1- weak contraction mapping and to study sufficient conditions for the existence of common fixed points for such class of mappings. As applications, related invariant approximation results are derived. The results obtained herein unify, generalize and complement various known results in the literature.
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V. Rajitha. "Tripled Fixed Point Results in G_b-Metric Spaces." Communications on Applied Nonlinear Analysis 31, no. 8s (2024): 433–40. http://dx.doi.org/10.52783/cana.v31.1536.

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In recent work authors were discussed fixed point results with various contractions like (ψ,ϕ)-weakly contractive mappings, cyclic contraction, E.A property, Suzuki-type contraction etc. in complete -metric spaces, With the help of completeness property and continuous function we obtained unique tripled fixed point in -metric spaces. Objectives: To show tripled fixed point theorems in -metric spaces via new type of contraction and shown illustrate an example which supports the main result. Methods: In recent work authors were discussed fixed point results with various contractions like (ψ, ϕ)-weakly contractive mappings, cyclic contraction, E.A property, Suzuki-type contraction etc. in complete -metric spaces, here we have showed tripled fixed point results by using new type of contraction. Results: Unique tripled fixed points with new type of contraction in -metric spaces. Conclusions: In this work we have obtained TFP results by using a new type of contraction and discussed corollary also an example which supports the main result.
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Muhammad, Rafique, Mohammed Shagari, and Akbar Azam. "On interpolative fuzzy contractions with applications." Filomat 37, no. 1 (2023): 207–19. http://dx.doi.org/10.2298/fil2301207m.

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In this paper, following a new interpolation approach in fixed point theory, we introduce the concepts of interpolative Hardy-Rogers-type fuzzy contraction and interpolative Reich-Rus-Ciric type fuzzy contraction in the framework of metric spaces, and we analyze the existence of fuzzy fixed points for such contractions equipped with some suitable hypotheses. A few consequences in single-valued mappings which include the conclusion of the main result of Karapinar et al. [On interpolative Hardy-Rogers type contractions. Symmetry, 2019, 11(1), 8] are obtained. On the basis that fixed point of a single-valued mapping satisfying interpolative type contractive inequality is not necessarily unique, and thereby making the notions more appropriate for fixed point theorems of multifunctions, new multivalued analogues of the fuzzy fixed point theorems presented herein are deduced as corollaries. In addition, nontrivial examples which dwell upon the generality of our results are provided. Finally, one of our results is applied to investigate solvability conditions of a Fredholm integral inclusion.
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Dissertations / Theses on the topic "Contraction mapping and fixed point"

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Abbas, Mujahid. "Soft Set Theory: Generalizations, Fixed Point Theorems, and Applications." Doctoral thesis, Universitat Politècnica de València, 2015. http://hdl.handle.net/10251/48470.

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Mathematical models have extensively been used in problems related to engineering, computer sciences, economics, social, natural and medical sciences etc. It has become very common to use mathematical tools to solve, study the behavior and different aspects of a system and its different subsystems. Because of various uncertainties arising in real world situations, methods of classical mathematics may not be successfully applied to solve them. Thus, new mathematical theories such as probability theory and fuzzy set theory have been introduced by mathematicians and computer scientists to handle the problems associated with the uncertainties of a model. But there are certain deficiencies pertaining to the parametrization in fuzzy set theory. Soft set theory aims to provide enough tools in the form of parameters to deal with the uncertainty in a data and to represent it in a useful way. The distinguishing attribute of soft set theory is that unlike probability theory and fuzzy set theory, it does not uphold a precise quantity. This attribute has facilitated applications in decision making, demand analysis, forecasting, information sciences, mathematics and other disciplines. In this thesis we will discuss several algebraic and topological properties of soft sets and fuzzy soft sets. Since soft sets can be considered as setvalued maps, the study of fixed point theory for multivalued maps on soft topological spaces and on other related structures will be also explored. The contributions of the study carried out in this thesis can be summarized as follows: i) Revisit of basic operations in soft set theory and proving some new results based on these modifications which would certainly set a new dimension to explore this theory further and would help to extend its limits further in different directions. Our findings can be applied to develop and modify the existing literature on soft topological spaces ii) Defining some new classes of mappings and then proving the existence and uniqueness of such mappings which can be viewed as a positive contribution towards an advancement of metric fixed point theory iii) Initiative of soft fixed point theory in framework of soft metric spaces and proving the results lying at the intersection of soft set theory and fixed point theory which would help in establishing a bridge between these two flourishing areas of research. iv) This study is also a starting point for the future research in the area of fuzzy soft fixed point theory.<br>Abbas, M. (2014). Soft Set Theory: Generalizations, Fixed Point Theorems, and Applications [Tesis doctoral no publicada]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/48470<br>TESIS
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Kinde, Haragewen Abraham. "Contraction and fixed point behavior of certain linear fractional transformations." CSUSB ScholarWorks, 1992. https://scholarworks.lib.csusb.edu/etd-project/1049.

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Farmer, Matthew Ray. "Applications in Fixed Point Theory." Thesis, University of North Texas, 2005. https://digital.library.unt.edu/ark:/67531/metadc4971/.

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Banach's contraction principle is probably one of the most important theorems in fixed point theory. It has been used to develop much of the rest of fixed point theory. Another key result in the field is a theorem due to Browder, Göhde, and Kirk involving Hilbert spaces and nonexpansive mappings. Several applications of Banach's contraction principle are made. Some of these applications involve obtaining new metrics on a space, forcing a continuous map to have a fixed point, and using conditions on the boundary of a closed ball in a Banach space to obtain a fixed point. Finally, a development of the theorem due to Browder et al. is given with Hilbert spaces replaced by uniformly convex Banach spaces.
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Kang, Jinghong. "The Computational Kleinman-Newton Method in Solving Nonlinear Nonquadratic Control Problems." Diss., Virginia Tech, 1998. http://hdl.handle.net/10919/30435.

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This thesis deals with non-linear non-quadratic optimal control problems in an autonomous system and a related iterative numerical method, the Kleinman-Newton method, for solving the problem. The thesis proves the local convergence of Kleinman-Newton method using the contraction mapping theorem and then describes how this Kleinman-Newton method may be used to numerically solve for the optimal control and the corresponding solution. In order to show the proof and the related numerical work, it is necessary to review some of earlier work in the beginning of Chapter 1 [Zhang], and to introduce the Kleinman-Newton method at the end of the chapter. In Chapter 2 we will demonstrate the proof. In Chapter 3 we will show the related numerical work and results.<br>Ph. D.
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Tatjana, Žikić. "Egzistencija nepokretne tačke u fazi strukturama." Phd thesis, Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu, 2002. https://www.cris.uns.ac.rs/record.jsf?recordId=73363&source=NDLTD&language=en.

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U ovoj tezi dokazane su teoreme o nepokretnoj tački koje predstavljaju jednoznačna i vi&scaron;eznačna uop&scaron;tenja Banahovog prin&shy;cipa kontrakcije u verovatnosnim metričkim i fazi metričkim pros&shy;torima. Dokazana je teorema koja predstavlja uop&scaron;tenje teoreme o nepokretnoj tački za verovatnosnu ^-kontrakciju / :&nbsp; S &mdash;* S,gde je&nbsp; ( S ,&nbsp; J7, T ) kompletan Mengerov prostor. Uveden je pojam jake (6n)-kontrakcije i dokazana je teorema koja predstavlja uop&scaron;tenje teoreme Sehgala i Bharuche-Reid kada je preslikavanje / :&nbsp; S &mdash;&gt; S jaka (6n)-kontrakcija. Teorema Caristija, koja predstavlja jedan od najvažnijih rezultata za teoriju nepokretne tačke i nelinearnu analizu uop&scaron;tena je u kompletnom Mengerovom prostoru&nbsp; (S ,&nbsp; F , T ), gde je t-norma&nbsp; T H -tipa. Kako Mengerovi prostori pripadaju klasi kvazi-uniformnih prostora dokazana je teorema o nepokretnoj tački tri preslikavanja u jednoj specijalnoj klasi kvazi-uniformnih prostora. Dokazana je teorema o nepokretnoj tački koja predstavlja verovatnosno uop&scaron;tenje Nadlerove g-kontrakcije za tri preslikavanja kao i uop&scaron;tenje Hiksovog principa kontrakcije za tri preslikavanja. Teorijakontraktora, koju je uveo M. Altman, odnosi se na re&scaron;avanje nelin&shy;earnih operatorskih jednačina u Banahovim prostorima. U tezi su dokazane teoreme koje obezbeđuju postojanje i jedinstvenost re&scaron;enja za nelinearne operatorske jednačine sa jednoznačnim i vi&scaron;eznačnim operatorom u nearhimedovskim Mengerovim verovatnosnim normi&shy; ranim prostorima.<br>In this thesis fixed point theorems which present singleval&shy;ued and multivalued generalization of Banach contraction principlein probabilistic metric and fuzzy metric spaces are proved. Thetheorem which presents generalization of fixed point theorem forprobabilistic g-contraction / :&nbsp; S &mdash;* S is proved, where ( S ,&nbsp; J7, T ) iscomplete Menger space. A notion of strong (&pound;&gt;n)-contraction is in&shy;troduced and the theorem which presents a generalization of Sehgaland Bharucha-Raid theorem when the mapping / :&nbsp; S&nbsp; &mdash;&raquo;&nbsp; S is strong(6n)-contraction is proved. Caristi&rsquo;s theorem, which presents one ofthe most imortant results for the fixed point theorem and nonlinearanalysis is generalized in complete Menger space&nbsp; (S, J-, T ), wheret-norm&nbsp; T is of&nbsp; H -type. As Menger&rsquo;s spaces belong to the class ofquasi-uniformizable spaces, the fixed point theorem for three map&shy;pings in one special class of quasi-uniformizable spaces is proved.The fixed point theorem which presents a probabilistic generaliza&shy;tion of Nadler g-contraction for three mappings is proved as wellas the generalization of Hicks&rsquo;s contraction principle for three map&shy;pings. The theory of contractor, which was introduced by M. A lt&shy;man refers to solving nonlinear operator equations in Banach spaces.This thesis proves the theorems which provide the existence anduniqueness of the solutions for nonlinear operator equations withsinglevalued and multivalued operators in nonarhimedian Menger&rsquo;sprobabilistic normed spaces
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Jenq, Horng-Lianq, and 鄭宏亮. "THE FIXED POINT INDEX FOR 1-SET-CONTRACTION MAPPINGS IN LOCALLY CONVEX SPACES." Thesis, 1993. http://ndltd.ncl.edu.tw/handle/18903592563018262178.

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Yeh, Mei-Chiao, and 葉梅嬌. "Fixed Point Theorm for Contractive Type Set-Valued Mappings." Thesis, 2003. http://ndltd.ncl.edu.tw/handle/04584898030434188495.

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Wu, Chien-Lung, and 吳建龍. "Fixed Point Theorem of Uniformly Locally Geraghty Contractive Mappings on Connected Complete Metric Spaces." Thesis, 2017. http://ndltd.ncl.edu.tw/handle/86818039267794315774.

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碩士<br>國立高雄師範大學<br>數學系<br>105<br>In this paper, we first introduce the concept of uniformly locally contractive mapping. Second, complete metric space is modified to be a connected complete metric space. Third, Our generalization of the Banach contraction principle replaces the global contraction hypothesis with the local contraction hypothesis. Then we investigate the behavior for mappings satisfying uniformly locally Geraghty contraction on connected complete metric space. Finally, we establish a new existence and uniqueness result of fixed point theorem.
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Sun, Wei-Yi, та 孫維毅. "Periodic Points and Fixed Points for the Weaker (Φ,ϕ)-Contractive Mappings in Complete Generalized Metric Spaces". Thesis, 2012. http://ndltd.ncl.edu.tw/handle/24760494217308018228.

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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>100<br>We introduce the notion of weaker (Φ,ϕ)-contractive mapping in completemetric spaces and prove the periodic points and fixed points for this type of contraction. Our results generalize or improve many recent fixed point theorems in the literature
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PENG, SHAO-CHUAN, та 彭紹銓. "Fixed point theory for the R-function type φ-set contraction". Thesis, 2018. http://ndltd.ncl.edu.tw/handle/6kz674.

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Books on the topic "Contraction mapping and fixed point"

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Ampadu, Clement. Fixed Point Theory for Weakly Contractive Cyclical Mappings Defined Implicitly Using Multiplicative C-Class Functions. Lulu Press, Inc., 2017.

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Ampadu, Clement. Fixed Point Theory for Non-Self Weakly Contractive Mappings Defined Implicitly Using Multiplicative C-Class Functions. Lulu Press, Inc., 2017.

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Sikorski, Krzysztof A. Optimal Solution of Nonlinear Equations. Oxford University Press, 2001. http://dx.doi.org/10.1093/oso/9780195106909.001.0001.

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Optimal Solution of Nonlinear Equations is a text/monograph designed to provide an overview of optimal computational methods for the solution of nonlinear equations, fixed points of contractive and noncontractive mapping, and for the computation of the topological degree. It is of interest to any reader working in the area of Information-Based Complexity. The worst-case settings are analyzed here. Several classes of functions are studied with special emphasis on tight complexity bounds and methods which are close to or achieve these bounds. Each chapter ends with exercises, including companies and open-ended research based exercises.
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Book chapters on the topic "Contraction mapping and fixed point"

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Kirk, W. A. "Contraction Mappings and Extensions." In Handbook of Metric Fixed Point Theory. Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-017-1748-9_1.

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Hadžić, Olga, and Endre Pap. "Probabilistic B-contraction principles for single-valued mappings." In Fixed Point Theory in Probabilistic Metric Spaces. Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-017-1560-7_3.

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Hadžić, Olga, and Endre Pap. "Probabilistic B-contraction principles for multi-valued mappings." In Fixed Point Theory in Probabilistic Metric Spaces. Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-017-1560-7_4.

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Anh, Pham Ngoc, and Dung Le Muu. "Contraction mapping fixed point algorithms for solving multivalued mixed variational inequalities." In Optimization with Multivalued Mappings. Springer US, 2006. http://dx.doi.org/10.1007/0-387-34221-4_11.

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Younis, Mudasir, Deepak Singh, and Lili Chen. "A Careful Retrospection of Metric Spaces and Contraction Mappings with Computer Simulation." In Recent Developments in Fixed-Point Theory. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-99-9546-2_1.

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Hamaizia, Taieb, and Seddik Merdaci. "New Fixed Point Results of Multivalued Contraction Mappings in b-Metric Spaces." In Recent Developments in Fixed-Point Theory. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-99-9546-2_8.

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Melliani, Said, A. Moussaoui, and L. S. Chadli. "Fixed Point Theory, Contractive Mapping, Fuzzy Metric Space." In Recent Advances in Intuitionistic Fuzzy Logic Systems. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-02155-9_21.

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Savaliya, Jayesh, Dhananjay Gopal, and Shailesh Kumar Srivastava. "Fixed Point Results for Cyclic Contraction Mapping in Non-triangular Metric Spaces." In Advances in Mathematical Modelling, Applied Analysis and Computation. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-56304-1_5.

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Ansar, Ahmad, and Syamsuddin Mas’ud. "Approximating Fixed Point of Weak Contraction Mapping Using General Picard-Mann Iteration Process." In Advances in Computer Science Research. Atlantis Press International BV, 2023. http://dx.doi.org/10.2991/978-94-6463-332-0_4.

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Chaker, Wajdi, Abdelaziz Ghribi, Aref Jeribi, and Bilel Krichen. "Some Fixed Point Theorems for Orbitally-(p, q)-Quasi-contraction Mappings." In Applied Mathematics in Tunisia. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-18041-0_8.

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Conference papers on the topic "Contraction mapping and fixed point"

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Nahi, Abbas Karim, and Salwa Salman Abed. "Various Fixed Points Results of Cyclic Mappings Satisfying Integral Contraction Conditions." In 2024 8th International Symposium on Multidisciplinary Studies and Innovative Technologies (ISMSIT). IEEE, 2024. https://doi.org/10.1109/ismsit63511.2024.10757268.

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Floria, Robert, and Alfonso Garcia. "Aggregating and Standardizing Disjointed Integrity Management Data." In CONFERENCE 2022. AMPP, 2022. https://doi.org/10.5006/c2022-17646.

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Abstract Data management is a critical component of an integrity management plan. Current products and services in the integrity management sector can generate an enormous amount of uncontrolled and disjointed data, housed on multiple platforms. This text examines methods of mapping and linking multiple data sources to achieve optimal data usefulness, while reducing redundant data, through use of spatial and relational techniques. By defining relationships between fixed points, linear values can be generated from calibrated routes. Developing methods to introduce new data, standardized from spatial data, serves to maintain data quality. Recurring data transfer logistics, using relational keys in conjunction with ETL procedures, serve to link databases. Value is achieved on a large-scale using girth welds to automate the process of generating mile post values for point features. Data generated at remote sensors are aggregated from multiple vendors and populated using an exchange governed by universally unique identifiers (UUID).
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Maibed, Zena Hussein, and Saad Shakeir Hussein. "Approximation fixed point theorems via generalized like contraction mappings." In PROCEEDING OF THE 1ST INTERNATIONAL CONFERENCE ON ADVANCED RESEARCH IN PURE AND APPLIED SCIENCE (ICARPAS2021): Third Annual Conference of Al-Muthanna University/College of Science. AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0097556.

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Alsamir, Habes, Haitham Qawaqneh, Hassen Aydi та Wasfi Shatanawi. "Fixed point of ϱ — ℨ - contraction type mapping in b-metric like spaces". У 2021 International Conference on Information Technology (ICIT). IEEE, 2021. http://dx.doi.org/10.1109/icit52682.2021.9491704.

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Bedre, Sachin V., Bhimanand P. Gajbhare, Pravin M. More, Shilpa B. Husale, and R. K. Bhardwaj. "Fixed point iteration and F-weak contractive mapping." In PROCEEDINGS OF THE 1ST INTERNATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE, ADVANCED MATERIALS, AND MECHATRONICS SYSTEMS: AIAMMS2023. AIP Publishing, 2024. https://doi.org/10.1063/5.0234468.

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Li, Suhong, Lingmin Zhang, Xin Xiao, Lihua Li, Hongwu Yin, and Huijuan Zhao. "Random Approximation with Weak Contraction Random Operator and Random Fixed Point Theorem for Nonexpansive Random Mapping." In Its Applications and Embedded Sys (CDEE). IEEE, 2010. http://dx.doi.org/10.1109/cdee.2010.89.

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Tiwari, Abhishek, Kaveh A. Tagavi, and J. M. McDonough. "Analytical Methods for Transport Equations in Similarity Form." In ASME/JSME 2007 Thermal Engineering Heat Transfer Summer Conference collocated with the ASME 2007 InterPACK Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/ht2007-32294.

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We present a novel approach for deriving analytical solutions to transport equations expressed in similarity variables. We apply a fixed-point iteration procedure to these transformed equations by formally solving for the highest derivative term and, from this (via requirements for convergence given by the contraction mapping principle), deduce a range of values for the outer limit of solution domain, for which the fixed-point iteration gives a converged solution.
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Fadail, Zaid Mohammed, and Abd Ghafur Bin Ahmad. "Fixed point theorems of T-contraction mappings under c-distance in cone metric spaces." In THE 2013 UKM FST POSTGRADUATE COLLOQUIUM: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2013 Postgraduate Colloquium. AIP Publishing LLC, 2013. http://dx.doi.org/10.1063/1.4858789.

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Nur, Muhammad. "Fixed point theorem for a contractive mapping on standard n-normed spaces." In 4TH INTERNATIONAL SCIENTIFIC CONFERENCE OF ALKAFEEL UNIVERSITY (ISCKU 2022). AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0181108.

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Zuhra, Rahma, Mohd Salmi Md Noorani, and Fawzia Shaddad. "A common fixed point theorem of weak contraction mappings on partially ordered quasi metric space." In THE 4TH INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES: Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society. Author(s), 2017. http://dx.doi.org/10.1063/1.4980982.

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Reports on the topic "Contraction mapping and fixed point"

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Cabrera, Wilmar, Santiago Gamba, Camilo Gómez, and Mauricio Villamizar-Villegas. Examining Macroprudential Policy through a Microprudential Lens. Banco de la República, 2022. http://dx.doi.org/10.32468/be.1212.

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In this paper, we examine the financial and real effects of macroprudential policies with a new identifying strategy that exploits borrower-specific provisioning levels for each bank. Locally, we compare similar firms just below and above regulatory thresholds established in Colombia during 2008--2018 for the corporate credit portfolio. Our results indicate that the scheme induces banks to increase the provisioning cost of downgraded loans. This implies that, for loans with similar risk but with a discontinuously lower rating, banks offer a lower amount of credit, demand higher quality guarantees, and impose a higher level of provision coverage through the loan-loss given default. To illustrate, a 1 percentage point (pp) increase in the provision-to-credit ratio leads to a reduction in credit growth of up to 15pp and lowers the probability of receiving new credit by up to 11pp. When mapping our results to the real sector, we find that downgraded firms are constrained in their investment decisions and experience a contraction in liabilities, equity, and total assets.
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