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Abstract and Applied Analysis
Volume 2015 (2015), Article ID 243753, 12 pages
http://dx.doi.org/10.1155/2015/243753
Research Article

A Coincidence Best Proximity Point Problem in -Metric Spaces

1Department of Mathematics, Lahore University of Management Sciences, Pakistan
2Department of Mathematics, University of Sargodha, Pakistan
3Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand

Received 2 June 2014; Accepted 3 August 2014

Academic Editor: Sehie Park

Copyright © 2015 M. Abbas 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

The aim of this paper is to initiate the study of coincidence best proximity point problem in the setup of generalized metric spaces. Some results dealing with existence and uniqueness of a coincidence best proximity point of mappings satisfying certain contractive conditions in such spaces are obtained. An example is provided to support the result proved herein. Our results generalize, extend, and unify various results in the existing literature.