Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 129124, 8 pages
doi:10.1155/2009/129124
Research Article

Fixed Point Theorems for a Weaker Meir-Keeler Type ψ-Set Contraction in Metric Spaces

Chi-Ming Chen and Tong-Huei Chang

Department of Applied Mathematics, National Hsinchu University of Education, Hsinchu 300, Taiwan

Received 25 March 2009; Accepted 19 June 2009

Academic Editor: Marlene Frigon

Copyright © 2009 Chi-Ming Chen and Tong-Huei Chang. 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 define a weaker Meir-Keeler type function and establish the fixed point theorems for a weaker Meir-Keeler type ψ-set contraction in metric spaces.