Results 31 to 40 of about 4,213,432 (261)
A Best Proximity Point Result in Modular Spaces with the Fatou Property [PDF]
Abstract and Applied Analysis, 2013 Consider a nonself-mapping , where is a pair of nonempty subsets of a modular space . A best proximity point of is a point satisfying the condition: .
Mohamed Jleli +2 more
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Best proximity pair theorem in metrizable topological vector spaces
Analysis in Theory and Applications, 2010 Summary: The goal of this paper is to prove an existence result on best proximity pairs. For this purpose, the class of factorizable multifunctions in an approximately weakly compact, convex subset of a metrizable topological vector space is used. Finally, certain known results are obtained as corollaries.
Zoran D Mitrović, Hemant Kumar Nashine
exaly +3 more sources
Common Best Proximity Points for Cyclic φ-Contraction Maps [PDF]
International Journal of Analysis and Applications, 2016 The purpose of this paper is to introduce new types of contraction condition for a pair of maps $(S,T)$ in metric spaces. We give convergence and existence results of best proximity points of such maps in the setting of uniformly convex Banach spaces ...
M. Ahmadi Baseri +2 more
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Existence and Convergence of Best Proximity Points for Semi Cyclic Contraction Pairs [PDF]
International Journal of Analysis and Applications, 2014 In this article, we introduce the notion of a semi cyclic ϕ-contraction pair of mappings, which contains semi cyclic contraction pairs as a subclass.
Balwant Singh Thakur, Ajay Sharma
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Bipartite graphs and best proximity pairs
Ukrainian Mathematical Bulletin, 2022 We say that a bipartite graph $G(A, B)$ with fixed parts $A$, $B$ is proximinal if there is a semimetric space $(X, d)$ such that $A$ and $B$ are disjoint proximinal subsets of $X$ and all edges $\{a, b\}$ satisfy the equality $d(a, b) = \operatorname{dist}(A, B)$. It is proved that a bipartite graph $G$ is not isomorphic to any proximinal graph iff $G$
Chaira, Karim +2 more
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Best proximity point results and application to a system of integro-differential equations
Advances in Difference Equations, 2021 In this work, we solve the system of integro-differential equations (in terms of Caputo–Fabrizio calculus) using the concepts of the best proximity pair (point) and measure of noncompactness.
Anupam Das +3 more
doaj +1 more source
Equivalence of the existence of best proximity points and best proximity pairs for cyclic and noncyclic nonexpansive mappings [PDF]
Demonstratio Mathematica, 2020 AbstractIn this study, at first we prove that the existence of best proximity points for cyclic nonexpansive mappings is equivalent to the existence of best proximity pairs for noncyclic nonexpansive mappings in the setting of strictly convex Banach spaces by using the projection operator.
Gabeleh Moosa, Künzi Hans-Peter A.
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Mathematics, 2023 This article studies new classes of contractions called the p-cyclic Reich contraction and p-cyclic Reich contraction pair and develops certain best proximity point results for such contractions in the setting of partial metric spaces.
Hind Alamri, Nawab Hussain, Ishak Altun
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Existence of best proximity pairs and equilibrium pairs
Journal of Mathematical Analysis and Applications, 2006 Using Lassonde's fixed point theorem for Kakutani factorizable multifunctions, the authors prove new existence theorems of best proximity pairs and equilibrium pairs for free abstract economies, which include previous fixed point theorems and equilibrium existence theorems.
Kim, Won Kyu, Lee, Kyoung Hee
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On existence of equilibrium pair for constrained generalized games
Fixed Point Theory and Applications, 2004 We obtain sufficient conditions for the existence of an equilibrium pair for a particular constrained generalized game as an application of a best proximity pair theorem.
P. Veeramani, P. S. Srinivasan
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