Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 876372, 9 pages
doi:10.1155/2010/876372
Research Article

Coupled Fixed Point Theorems for Nonlinear Contractions Satisfied Mizoguchi-Takahashi's Condition in Quasiordered Metric Spaces

Wei-Shih Du

Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 802, Taiwan

Received 10 November 2009; Revised 5 March 2010; Accepted 14 March 2010

Academic Editor: Tomonari Suzuki

Copyright © 2010 Wei-Shih Du. 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

The main aim of this paper is to study and establish some new coupled fixed point theorems for nonlinear contractive maps that satisfied Mizoguchi-Takahashi's condition in the setting of quasiordered metric spaces or usual metric spaces.