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2012 Best Proximity Point Results for MK-Proximal Contractions
Mohamed Jleli, Erdal Karapınar, Bessem Samet
Abstr. Appl. Anal. 2012(SI16): 1-14 (2012). DOI: 10.1155/2012/193085


Let A and B be nonempty subsets of a metric space with the distance function d, and T : A B is a given non-self-mapping. The purpose of this paper is to solve the nonlinear programming problem that consists in minimizing the real-valued function x d ( x , T x ) , where T belongs to a new class of contractive mappings. We provide also an iterative algorithm to find a solution of such optimization problems.


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Mohamed Jleli. Erdal Karapınar. Bessem Samet. "Best Proximity Point Results for MK-Proximal Contractions." Abstr. Appl. Anal. 2012 (SI16) 1 - 14, 2012.


Published: 2012
First available in Project Euclid: 7 May 2014

zbMATH: 1296.54066
MathSciNet: MR3004934
Digital Object Identifier: 10.1155/2012/193085

Rights: Copyright © 2012 Hindawi

Vol.2012 • No. SI16 • 2012
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