Journal of Applied Mathematics
Volume 2012 (2012), Article ID 792174, 9 pages
http://dx.doi.org/10.1155/2012/792174
Research Article

Fixed Point Theorems via Auxiliary Functions

1Department of Mathematics, Atilim University, Incek, 06836 Ankara, Turkey
2Department of Mathematics, Sahand University of Technology, Tabriz, Iran

Received 31 July 2012; Accepted 20 September 2012

Academic Editor: Wan-Tong Li

Copyright © 2012 Erdal Karapınar and Peyman Salimi. 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 new fixed point theorems in the framework of partially ordered metric spaces. The main result is an extension and a generalization of many existing results in the literature. An example is also considered to illustrate the main result.