Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 190606, 16 pages
doi:10.1155/2010/190606
Research Article

Nonlinear Contractive Conditions for Coupled Cone Fixed Point Theorems

Wei-Shih Du

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

Received 19 April 2010; Revised 8 June 2010; Accepted 5 July 2010

Academic Editor: Juan J. Nieto

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

We establish some new coupled fixed point theorems for various types of nonlinear contractive maps in the setting of quasiordered cone metric spaces which not only obtain several coupled fixed point theorems announced by many authors but also generalize them under weaker assumptions.