Journal of Prime Research in Mathematics
Vol. 1 (2008), Issue 1, pp. 132 – 142
ISSN: 1817-3462 (Online) 1818-5495 (Print)
ISSN: 1817-3462 (Online) 1818-5495 (Print)
Common fixed point theorems for two mappings in \(D^∗\)-metric spaces
Shaban Sedghi
Department of Mathematics, Islamic Azad University-Ghaemshahr Branch, Ghaemshahr P.O.Box 163, Iran.
Nabi Shobe
Department of Mathematics, Islamic Azad University-Babol Branch, Iran.
Shahram Sedghi
Department of Mechanical Engineering,Iran University of Science and Technology, Narmak, Tehran 16844, Iran.
\(^{1}\)Corresponding Author: sedghi_gh@yahoo.com
Copyright © 2008 Shaban Sedghi, Nabi Shobe, Shahram Sedghi. 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.
Published: December, 2008.
Abstract
In this paper, we give some new definitions of \(D^∗\)-metric spaces and we prove a common fixed point theorem for two mappings under the condition of weakly compatible mappings in complete \(D^∗\)-metric spaces. We get some improved versions of several fixed point theorems in complete \(D^∗)-metric spaces.
Keywords:
\(D^∗\)-metric contractive mapping, complete \(D^∗\)-metric space, common fixed point theorem.