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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 193085, 14 pages
http://dx.doi.org/10.1155/2012/193085
Research Article

Best Proximity Point Results for MK-Proximal Contractions

1Department of Mathematics, King Saud University, Riyadh, Saudi Arabia
2Department of Mathematics, Atilim University, İncek, 06836, Ankara, Turkey

Received 10 October 2012; Accepted 15 December 2012

Academic Editor: Qamrul Hasan Ansari

Copyright © 2012 Mohamed Jleli et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Let and be nonempty subsets of a metric space with the distance function d, and 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 , where belongs to a new class of contractive mappings. We provide also an iterative algorithm to find a solution of such optimization problems.