Wardowski type contractions and the fixed-circle problem on s-metric spaces

Abstract

In this paper, we present new fixed-circle theorems for self-mappings on an S-metric space using some Wardowski type contractions, psi-contractive, and weakly psi-contractive self-mappings. The common property in all of the obtained theorems for Wardowski type contractions is that the self-mapping fixes both the circle and the disc with the center x(0) and the radius r.