Fixed Point Theory and Applications
Volume 2007 (2007), Article ID 27906, 13 pages
doi:10.1155/2007/27906
Research Article

A Common Fixed Point Theorem in D*-Metric Spaces

Shaban Sedghi,1 Nabi Shobe,2 and Haiyun Zhou3

1Department of Mathematics, Islamic Azad University-Ghaemshahr Branch, P.O. Box 163, Ghaemshahr, Iran
2Department of Mathematics, Islamic Azad University-Babol Branch, Babol, Iran
3Department of Mathematics, Shijiazhuang Mechnical Engineering University, Shijiazhuang 050003, China

Received 27 February 2007; Accepted 16 July 2007

Academic Editor: Thomas Bartsch

Copyright © 2007 Shaban Sedghi 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 give some new definitions of D*-metric spaces and we prove a common fixed point theorem for a class of mappings under the condition of weakly commuting mappings in complete D∗-metric spaces. We get some improved versions of several fixed point theorems in complete D∗-metric spaces.