Journal of Applied Mathematics
Volume 2013 (2013), Article ID 302438, 7 pages
http://dx.doi.org/10.1155/2013/302438
Research Article

Fixed Point Theory of Weak Contractions in Partially Ordered Metric Spaces

Chi-Ming Chen,1 Jin-Chirng Lee,2 and Chao-Hung Chen2

1Department of Applied Mathematics, National Hsinchu University of Education, No. 521, Nandah Road, Hsinchu City, Taiwan
2Department of Applied Mathematics, Chung Yuan Christian University, Taiwan

Received 12 March 2013; Accepted 20 April 2013

Academic Editor: Erdal Karapınar

Copyright © 2013 Chi-Ming Chen et al. 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 two new fixed point theorems in the framework of partially ordered metric spaces. Our results generalize and improve many recent fixed point theorems in the literature.