Best proximity point theorems: unriddling a special nonlinear programming problem |
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Authors: | S. Sadiq Basha |
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Affiliation: | 1. Department of Mathematics, Anna University, Chennai, 600 025, India
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Abstract: | This paper addresses the non-linear programming problem of globally minimizing the real valued function x?d(x,Sx) where S is a generalized proximal contraction in the setting of a metric space. Eventually, one can obtain optimal approximate solutions to some fixed-point equations in the event that they have no solution. |
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