G-approximate best proximity pairs in metric space with a directed graph [PDF]
Mathematica MoravicaLet (X,d) be a metric space endowed with a directed graph G where V (G) and E(G) represent the sets of vertices and edges corresponding to X, respectively.
Mohsenialhosseini Seyed Ali Mohammad +1 more
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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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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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Cyclic pairs and common best proximity points in uniformly convex Banach spaces
Open Mathematics, 2017 In this article, we survey the existence, uniqueness and convergence of a common best proximity point for a cyclic pair of mappings, which is equivalent to study of a solution for a nonlinear programming problem in the setting of uniformly convex Banach ...
Gabeleh Moosa +3 more
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Corrigendum to the paper “Equivalence of the existence of best proximity points and best proximity pairs for cyclic and noncyclic nonexpansive mappings” [PDF]
Demonstratio Mathematica, 2021 The purpose of this short note is to present a correction of the proof of the main result given in the paper “Equivalence of the existence of best proximity points and best proximity pairs for cyclic and noncyclic nonexpansive mappings,” Demonstr.
Gabeleh Moosa
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Best proximity pair results for relatively nonexpansive mappings in\n geodesic spaces [PDF]
Numerical Functional Analysis and Optimization, 2013 Given $A$ and $B$ two nonempty subsets in a metric space, a mapping $T : A \cup B \rightarrow A \cup B$ is relatively nonexpansive if $d(Tx,Ty) \leq d(x,y) \text{for every} x\in A, y\in B.$ A best proximity point for such a mapping is a point $x \in A \cup B$ such that $d(x,Tx)=\text{dist}(A,B)$.
Aurora Fernández León, Adriana Nicolae
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Existence of equilibrium pair in best proximity settings
Applied Mathematical Sciences, 2015 In this paper, using a best proximity theorem, we will prove a basic existence theorem of equilibrium pair for a free 1-person game which generalizes both xed point theorems and equilibrium existence theorems in best proximity settings.
Won Kyu Kim
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Cyclic contractions and best proximity pair theorems [PDF]
, 2010 This paper has been ...
G. Sankara Raju Kosuru, P. Veeramani
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On best proximity pair theorems and fixed‐point theorems [PDF]
Abstract and Applied Analysis, 2003 The significance of fixed‐point theory stems from the fact that it furnishes a unified approach and constitutes an important tool in solving equations which are not necessarily linear. On the other hand, if the fixed‐point equation Tx = x does not possess a solution, it is contemplated to resolve a problem of finding an element x such that x is in ...
P. S. Srinivasan, P. Veeramani
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BEST PROXIMITY PAIRS AND NASH EQUILIBRIUM PAIRS [PDF]
Journal of the Korean Mathematical Society, 2008 Main purpose of this paper is to combine the optimal form of Fan's best approximation theorem and Nash's equilibrium existence theorem into a single existence theorem simultaneously. For this, we first prove a general best proximity pair theorem which includes a number of known best proximity theorems.
Won-Kyu Kim, Sangho Kum
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