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Best proximity point theorems: unriddling a special nonlinear programming problem

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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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Authors and Affiliations

  1. Department of Mathematics, Anna University, Chennai, 600 025, India

    S. Sadiq Basha

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  1. S. Sadiq Basha
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Sadiq Basha, S. Best proximity point theorems: unriddling a special nonlinear programming problem. TOP 22, 543–553 (2014). https://doi.org/10.1007/s11750-012-0269-1

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  • DOI: https://doi.org/10.1007/s11750-012-0269-1

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