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Abstract and Applied Analysis
Volume 2015 (2015), Article ID 361657, 6 pages
http://dx.doi.org/10.1155/2015/361657
Research Article

Best Proximity Points for Generalized Proximal Weak Contractions Satisfying Rational Expression on Ordered Metric Spaces

Department of Mathematics, Bharathidasan University, Tiruchirappalli, Tamil Nadu 620 024, India

Received 26 July 2014; Accepted 6 September 2014

Academic Editor: Poom Kumam

Copyright © 2015 V. Pragadeeswarar and M. Marudai. 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 introduce a generalized proximal weak contraction of rational type for the non-self-map and proved results to ensure the existence and uniqueness of best proximity point for such mappings in the setting of partially ordered metric spaces. Further, our results provides an extension of a result due to Luong and Thuan (2011) and also it provides an extension of Harjani (2010) to the case of self-mappings.