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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 274062, 7 pages
http://dx.doi.org/10.1155/2014/274062
Research Article

The Existence and Uniqueness of Coupled Best Proximity Point for Proximally Coupled Contraction in a Complete Ordered Metric Space

1Department of Mathematics, Bharathidasan University, Tiruchirappalli, Tamil Nadu 620 024, India
2Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bang Mod, Thung Khru, Bangkok 10140, Thailand
3Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of North Bangkok (KMUTNB), Wongsawang, Bangsue, Bangkok 10800, Thailand

Received 2 February 2014; Accepted 18 April 2014; Published 14 May 2014

Academic Editor: Salvador Romaguera

Copyright © 2014 V. Pragadeeswarar 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

We prove the existence and uniqueness of coupled best proximity point for mappings satisfying the proximally coupled contraction in a complete ordered metric space. Further, our result provides an extension of a result due to Bhaskar and Lakshmikantham.