Journal of Applied Mathematics
Volume 2013 (2013), Article ID 534127, 10 pages
http://dx.doi.org/10.1155/2013/534127
Research Article

Best Proximity Points for Generalized -Proximal Contractive Type Mappings

Mohamed Jleli,1 Erdal Karapınar,2 and Bessem Samet1

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

Received 19 February 2013; Accepted 7 April 2013

Academic Editor: Lai-Jiu Lin

Copyright © 2013 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

We introduce a new class of non-self-contractive mappings. For such mappings, we study the existence and uniqueness of best proximity points. Several applications and interesting consequences of our obtained results are derived.