Some fixed point theorems on s-metric spaces

Abstract

In this paper, we present some contractive mappings and prove new generalized fixed point theorems on S-metric spaces. Also we define the notion of a cluster point and investigate fixed points of self-mappings using cluster points on S-metric spaces. We obtain new generalizations of the classical Nemytskii-Edelstein and 'Ciric's fixed point theorems for continuous self-mappings of compact S-metric spaces.