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Nonlinear Analysis: Theory, Methods & Applications, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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
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Optimal problems of the best proximity pair by proximal normal structure
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