Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 621469, 17 pages
doi:10.1155/2010/621469
Research Article

Some Fixed Point Theorems on Ordered Metric Spaces and Application

Ishak Altun and Hakan Simsek

Department of Mathematics, Faculty of Science and Arts, Kirikkale University, Yahsihan, Kirikkale 71450, Turkey

Received 2 July 2009; Accepted 13 January 2010

Academic Editor: Juan Jose Nieto

Copyright © 2010 Ishak Altun and Hakan Simsek. 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 present some fixed point results for nondecreasing and weakly increasing operators in a partially ordered metric space using implicit relations. Also we give an existence theorem for common solution of two integral equations.