• A FIXED POINT THEOREM ON S-METRIC SPACES WITH A WEAK S –METRIC

Abstract

Very recently, Sedghi, Shobe and Aliouche [2] have introduced S-metric space as a generalization of the metric space and proved a Fixed Point Theorem similar to Banach contraction principle in metric spaces. In this paper we define the concept of a weak S-metric on a S-metric space and establish a Fixed Point Theorem on S-metric space with a weak S-metric. We also deduce the theorem proved in [2] from our result.