Journal of Prime Research in Mathematics
Vol. 1 (2011), Issue 1, pp. 25 – 34
ISSN: 1817-3462 (Online) 1818-5495 (Print)
ISSN: 1817-3462 (Online) 1818-5495 (Print)
A common unique random fixed point theorems in S-Metric spaces
Shaban Sedghi
Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran.
Nabi Shobe
Department of Mathematics, Islamic Azad University-Babol Branch, Babol, Iran.
\(^{1}\)Corresponding Author: sedghi gh@yahoo.com
Copyright © 2011 Shaban Sedghi, Nabi Shobe. 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, 20011.
Abstract
In this paper, we present some new definitions of \(S\)-metric spaces and prove some random fixed point theorem for two random functions in complete S-metric spaces. We get some improved versions of several fixed point theorems in S-metric spaces.
Keywords:
\(D^∗\) -metric space, S-metric space, common fixed point theorem.