Best proximity point theorems: unriddling a special nonlinear programming problem

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...

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Bibliographic Details
Published in:	TOP Vol. 22; no. 2; pp. 543 - 553
Main Author:	Sadiq Basha, S.
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2014
Subjects:	Business and Management Economic Theory/Quantitative Economics/Mathematical Methods Economics Finance Industrial and Production Engineering Insurance Management Operations Research/Decision Theory Optimization Original Paper Statistics for Business Generalized proximal contraction Non-linear programming problem Global optimization 90C30 Generalized proximal cyclic contraction Optimal approximate solution Proximal contraction Proximal cyclic contraction 90C26 Best proximity point Fixed point
ISSN:	1134-5764, 1863-8279
Online Access:	Get full text
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