Fixed Point Theory and Applications
Volume 2007 (2007), Article ID 27906, 13 pages
doi:10.1155/2007/27906
A Common Fixed Point Theorem in D*-Metric Spaces
Shaban Sedghi1
, Nabi Shobe2
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
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.