Abstract and Applied Analysis
Volume 2011 (2011), Article ID 812690, 12 pages
http://dx.doi.org/10.1155/2011/812690
Research Article

Tripled Fixed Points of Multivalued Nonlinear Contraction Mappings in Partially Ordered Metric Spaces

Mujahid Abbas,1 Hassen Aydi,2 and Erdal Karapınar3

1Department of Mathematics, Lahore University of Management Sciences, 54792 Lahore, Pakistan
2Institut Supérieur d'Informatique et des Technologies de Comminucation de Hammam Sousse, Université de Sousse, Route GP1, 4011 Hammam Sousse, Tunisia
3Department of Mathematics, Atilim University, İncek, 06836 Ankara, Turkey

Received 5 August 2011; Accepted 19 October 2011

Academic Editor: Yong Zhou

Copyright © 2011 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

Berinde and Borcut (2011), introduced the concept of tripled fixed point for single mappings in partially ordered metric spaces. Samet and Vetro (2011) established some coupled fixed point theorems for multivalued nonlinear contraction mappings in partially ordered metric spaces. In this paper, we obtain existence of tripled fixed point of multivalued nonlinear contraction mappings in the framework of partially ordered metric spaces. Also, we give an example.