Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 643840, 13 pages
doi:10.1155/2009/643840
Research Article

Common Fixed Point Theorems for Weakly Compatible Pairs on Cone Metric Spaces

G. Jungck,1 S. Radenović,2 S. Radojević,2 and V. Rakočević3

1Department of Mathematics, Bradley University, Peoria, IL 61625, USA
2Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11 120 Beograd, Serbia
3Department of Mathematics, Faculty of Science and Mathematics, University of Niš, Višegradska 33, 18 000 Niš, Serbia

Received 17 December 2008; Accepted 4 February 2009

Academic Editor: Mohamed Khamsi

Copyright © 2009 G. Jungck 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 several fixed point theorems on cone metric spaces in which the cone does not need to be normal. These theorems generalize the recent results of Huang and Zhang (2007), Abbas and Jungck (2008), and Vetro (2007). Furthermore as corollaries, we obtain recent results of Rezapour and Hamlborani (2008).