Journal of Prime Research in Mathematics

# 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

### 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.