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Best proximity pairs and equilibrium pairs for Kakutani multimaps
Nonlinear Analysis: Theory, Methods & Applications, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Al-Thagafi, M. A., Shahzad, Naseer
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Optimal problems of the best proximity pair by proximal normal structure
2023Summary: Let \((A_1,A_2,A_3)\) be a triple of nonempty convex subsets of a metric space \(\Omega\). In this paper, we determine optimal problems of the best proximity pair by proximal normal structure between two sets \(A_1\) and \(A_2\) with the help of a third set \(A_3\) and we find some necessary and sufficient conditions for existence this optimal
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Proximinal Retracts and Best Proximity Pair Theorems
Numerical Functional Analysis and Optimization, 2003Abstract This note is concerned with proximinality and best proximity pair theorems in hyperconvex metric spaces and in Hilbert spaces. Given two subsets A and B of a metric space and a mapping best proximity pair theorems provide sufficient conditions that ensure the existence of an such that Thus such theorems provide optimal approximate solutions in
W. A. Kirk, Simeon Reich, P. Veeramani
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