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Cyclic (noncyclic) phi-condensing operator and its application to a system of differential equations [PDF]
Nonlinear Analysis, 2019 We establish a best proximity pair theorem for noncyclic φ-condensing operators in strictly convex Banach spaces by using a measure of noncompactness. We also obtain a counterpart result for cyclic φ-condensing operators in Banach spaces to guarantee the
Moosa Moosa Gabeleh +2 more
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Markov–Kakutani’s theorem for best proximity pairs in Hadamard spaces
Indagationes Mathematicae, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gabeleh, M., Otafudu, O.Olela
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A Best Proximity Point Result in Modular Spaces with the Fatou Property
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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A Common Best Proximity Point Theorem for Ï•-dominated Pair
European Journal of Pure and Applied Mathematics, 2018 In the present research, an interesting common best proximity point theorem for pairs of non-self-mappings is presented. It satises a weakly contraction-like condition, thereby producing common optimal approximate solutions of certain simultaneous xed point equations.
Iranmanesh, Mahdi +1 more
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FilomatIn the setup of metric spaces, many recent studies established a significant variety of control type mappings and illustrated some fixed point results. To represent various contractivity conditions, Khojasteh et al. have established the idea of a simulation function and came up with certain conclusions about the fixed point. For two nonlinear operators
P PaunovicMarija +2 more
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On general best proximity pairs and equilibrium pairs in free abstract economies
Nonlinear Analysis: Theory, Methods & Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kim, Won Kyu +2 more
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Some Results on Iterative Proximal Convergence and Chebyshev Center
Journal of Function Spaces, 2021 In this paper, we prove a sufficient condition that every nonempty closed convex bounded pair M,N in a reflexive Banach space B satisfying Opial’s condition has proximal normal structure.
Laishram Shanjit +3 more
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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 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.
Nashine, H. K. +2 more
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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.
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