International Journal of Mathematics and Mathematical Sciences
Volume 2012 (2012), Article ID 313675, 11 pages
http://dx.doi.org/10.1155/2012/313675
Research Article

Fixed Point of -Hardy-Rogers Contractive Mappings in Partially Ordered Partial Metric Spaces

Mujahid Abbas,1 Hassen Aydi,2 and Stojan Radenović3

1Department of Mathematics, Lahore University of Management Sciences, Lahore 54792, Pakistan
2Institut Supérieur d'Informatique et de Technologies de Communication de Hammam Sousse, Université de Sousse, Route GP1, 4011 Hammam Sousse, Tunisia
3Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11 120 Beograd, Serbia

Received 20 March 2012; Accepted 29 August 2012

Academic Editor: Brigitte Forster-Heinlein

Copyright © 2012 Mujahid 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

We prove some fixed point theorems for a T-Hardy-Rogers contraction in the setting of partially ordered partial metric spaces. We apply our results to study periodic point problems for such mappings. We also provide examples to illustrate the results presented herein.