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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Existence of generalized equilibrium pair in best proximity settings
Applied Mathematical Sciences, 2015 In this paper, using a general best proximity theorem, we will prove an existence theorem of equilibrium pair for a free n-person game, which generalizes the previous existence theorem of equilibrium pair for a free 1-person in [7].
Won Kyu Kim
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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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A characterization of weak proximal normal structure and best proximity pairs [PDF]
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2022 The aim of this paper is to address an open problem given in [Kirk, W. A., Shahzad, Naseer, Normal structure and orbital fixed point conditions, J. Math. Anal. Appl. {\bf{vol 463(2)}}, (2018) 461--476]. We give a characterization of weak proximal normal structure using best proximity pair property.
Abhik Digar +2 more
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On best proximity pairs with application to differential equations [PDF]
Fixed Point Theory, 2020 G. Sankara Raju Kosuru
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Best Proximity Pairs in Fuzzy Normed Spaces [PDF]
Journal of Applied Sciences, 2012 Majid Abrishami Moghaddam
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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
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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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Cyclic (Noncyclic) ϕ-condensing operator and its application to a system of differential equations [PDF]
, 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
Gabeleh M., Moshokoa S. P., Vetro C.
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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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