Results 11 to 20 of about 5,989,700 (306)
Best proximity points of cyclic mappings [PDF]
Applied Mathematics Letters, 2012 Let \(A\) and \(B\) be nonempty closed subsets of a complete metric space \((X,d)\). A map \(T: A \cup B \rightarrow A \cup B\) is called cyclic if \(T(A) \subset B\) and \(T(B) \subset A\). A point \(x \in A \cup B\) is called a best proximity point for \(T\) if \(d(x,T(x))\) coincides with the infimum of the set \(\{ d(a,b) : a \in A,\, b \in B \}\).
Erdal Karapinar
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Best Proximity Points for Cyclical Contractive Mappings [PDF]
Applied General Topology, 2015 We consider p-cyclic mappings and prove an analogous result to Edelstien contractive theorem for best proximity points. Also we give similar results satisfying Boyd-Wong and Geraghty contractive conditions.
J. Maria Felicit, A. Anthony Eldred
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Results on the Existence and Convergence of Best Proximity Points [PDF]
Fixed Point Theory and Applications, 2010 We first consider a cyclic φ-contraction map on a reflexive Banach space X and provide a positive answer to a question raised by Al-Thagafi and Shahzad on the existence of best proximity points for cyclic φ-contraction maps in reflexive ...
Ali Abkar, Moosa Gabeleh
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Best Proximity Points for K- Proximal Contraction [PDF]
International Journal of Analysis and Applications, 2014 In this paper, we define K− proximal contraction and prove best proximity point theorem for this contraction. We also provide an illustrative example.
Ajay Sharma, Balwant Singh Thakur
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On Coupled Best Proximity Points in Reflexive Banach Spaces
Mathematics, 2022 We investigated the existence and uniqueness of coupled best proximity points for some cyclic and semi-cyclic maps in a reflexive Banach space. We found sufficient conditions, ensuring the existence of coupled best proximity points in reflexive Banach ...
Laura Ajeti +2 more
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Existence of Coupled Best Proximity Points of p-Cyclic Contractions
Axioms, 2021 We generalize the notion of coupled fixed (or best proximity) points for cyclic ordered pairs of maps to p-cyclic ordered pairs of maps. We find sufficient conditions for the existence and uniqueness of the coupled fixed (or best proximity) points.
Miroslav Hristov +3 more
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Weak proximal normal structure and coincidence quasi-best proximity points [PDF]
Applied General Topology, 2020 We introduce the notion of pointwise cyclic-noncyclic relatively nonexpansive pairs involving orbits. We study the best proximity point problem for this class of mappings.
Farhad Fouladi +2 more
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Convergence and Best Proximity Points for Generalized Contraction Pairs
Mathematics, 2019 This paper is devoted to studying the existence of best proximity points and convergence for a class of generalized contraction pairs by using the concept of proximally-complete pairs and proximally-complete semi-sharp proximinal pairs.
Slah Sahmim +2 more
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Common best proximity points for a pair of mappings with certain dominating property
Demonstratio Mathematica, 2023 This article introduces a type of dominating property, partially inherited from L. Chen’s, and proves an existence and uniqueness theorem concerning common best proximity points.
Phakdi Charoensawan +1 more
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Optimum Solutions of Systems of Differential Equations via Best Proximity Points in b-Metric Spaces
Mathematics, 2023 This paper deals with the existence of an optimum solution of a system of ordinary differential equations via the best proximity points. In order to obtain the optimum solution, we have developed the best proximity point results for generalized ...
Manuel de la Sen, Basit Ali
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