Journal of Applied Mathematics
Volume 2012 (2012), Article ID 945915, 14 pages
http://dx.doi.org/10.1155/2012/945915
Research Article

Common Fixed-Point Theorems in Complete Generalized Metric Spaces

Chi-Ming Chen

Department of Applied Mathematics, National Hsinchu University of Education, No. 521 Nanda Road, Hsinchu City 300, Taiwan

Received 10 January 2012; Revised 29 March 2012; Accepted 31 March 2012

Academic Editor: Yuantong Gu

Copyright © 2012 Chi-Ming Chen. 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 introduce the notions of the 𝒲 function and 𝒮 function, and then we prove two common fixed point theorems in complete generalized metric spaces under contractive conditions with these two functions. Our results generalize or improve many recent common fixed point results in the literature.