Best proximity point theorems: unriddling a special nonlinear programming problem

S. Sadiq Basha ()

TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, 2014, vol. 22, issue 2, 543-553

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. Copyright Sociedad de Estadística e Investigación Operativa 2014

Keywords: Global optimization; Non-linear programming problem; Optimal approximate solution; Best proximity point; Fixed point; Proximal contraction; Generalized proximal contraction; Proximal cyclic contraction; Generalized proximal cyclic contraction; 90C26; 90C30 (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s11750-012-0269-1

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