On a coupled fixed point theorem for a mapping satisfying a contraction of rational type in partially ordered S-metric space

Abstract

In this paper, the concept of S-metric is used as a generalizion of the ordinary metric space to obtain a coupled fixed point result for a mapping satisfying a contraction of rational type in partially ordered S-metric space. Since such results has already been proved in ordinary metric space, similar procedure was followed in stating and proving our result in the setting of S-metric space. The result presented here modify and generalize the existing result of Circ et al (2012) which was stated in partially ordered metric space.