Results 11 to 20 of about 416,993 (285)
Best Proximity Sets and Equilibrium Pairs for a Finite Family of Multimaps [PDF]
Fixed Point Theory and Applications, 2009 We establish the existence of a best proximity pair for which the best proximity set is nonempty for a finite family of multimaps whose product is either an ð”„ðÂœκ-multimap or a multimap T:A→2B such that both T and S∘T are closed ...
Naseer Shahzad, M. A. Al-Thagafi
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t-Best Proximity Pair in Fuzzy Normed Spaces [PDF]
Journal of Mathematical Extension, 2014 This study has considered the problem of finding best proximity pair in fuzzy metric spaces and uniformly convex fuzzy Banach spaces for fuzzy cyclic contraction map. We prove the uniqueness of this point in uniformly fuzzy Banach spaces. We also give
H. R. Khademzadeh, H. Mazaheri
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Best Proximity Point Theorems for a Berinde MT-Cyclic Contraction on a Semisharp Proximal Pair [PDF]
International Journal of Mathematics and Mathematical Sciences, 2018 In this paper, a new type of non-self-mapping, called Berinde MT-cyclic contractions, is introduced and studied. Best proximity point theorems for this type of mappings in a metric space are presented. Some examples illustrating our main results are also
Chalongchai Klanarong +1 more
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Best Proximity Pairs in Ultrametric Spaces [PDF]
p-Adic Numbers, Ultrametric Analysis and Applications, 2021 In the present paper, we study the existence of best proximity pairs in ultrametric spaces. We show, under suitable assumptions, that the proximinal pair $(A,B)$ has a best proximity pair. As a consequence we generalize a well known best approximation result and we derive some fixed point theorems.
Chaira, Karim +2 more
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On a generalization of a relatively nonexpansive mapping and best proximity pair [PDF]
Fixed Point Theory and Algorithms for Sciences and Engineering, 2023 Let A and B be two nonempty subsets of a normed space X, and let T : A ∪ B → A ∪ B $T: A \cup B \to A \cup B$ be a cyclic (resp., noncyclic) mapping.
Karim Chaira, Belkassem Seddoug
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Best proximity point (pair) results via MNC in Busemann convex metric spaces
Applied General Topology, 2022 In this paper, we present a new class of cyclic (noncyclic) α-ψ and β-ψ condensing operators and survey the existence of best proximity points (pairs) as well as coupled best proximity points (pairs) in the setting of reflexive Busemann convex spaces ...
Moosa Gabeleh, Pradip Ramesh Patle
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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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Global Optimization and Common Best Proximity Points for Some Multivalued Contractive Pairs of Mappings [PDF]
Axioms, 2020 In this paper, we study a problem of global optimization using common best proximity point of a pair of multivalued mappings. First, we introduce a multivalued Banach-type contractive pair of mappings and establish criteria for the existence of their ...
Pradip Debnath, Hari Mohan Srivastava
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Uniqueness of best proximity pairs and rigidity of semimetric spaces [PDF]
Journal of Fixed Point Theory and Applications, 2022 32 pages, 10 ...
Oleksiy Dovgoshey, Ruslan Shanin
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Bipartite graphs and best proximity pairs [PDF]
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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