Abstract

A common fixed point theorem for two self maps of an S-metric space with rational inequality is proved in the present paper.

Highlights

  • As a generalization of metric spaces B.C.Dhage [1,2] introduced D- metric spaces

  • A common fixed point theorem for two self maps of an S-metric space with rational inequality is proved in the present paper

  • The notion of commutativity is generalized by Gerald Jungck [3] by initiating compatibility

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Summary

INTRODUCTION

As a generalization of metric spaces B.C.Dhage [1,2] introduced D- metric spaces. Later many researchers proved many of their results are not valid. As a probable modification to D- metric spaces, Shaban Sedghi, Nabi Shobe and Haiyun Zhou [4] introduced D*- metric spaces. In 2006, Zead Mustafa and Brailey Sims [6] have initiated G- metric spaces, while Shaban Sedghi, Nabi Shobe and Abdelkrim Aliouche [5] considered S-mertic spaces in 2012. Of these three generalizations, the S-metric space generated interest in researchers.

PRELIMINARIES
S-METRIC SPACE WITH RATIONAL INEQUALITY
MAIN RESULTS
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