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

Recommended by Thomas Bartsch

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.