Fixed point theorem for a kind of \'{C}iri\'{c} type contractions in complete metric spaces

Abstract

We prove a fixed point theorem  for a kind of C'iric' type contractions  in complete metric spaces. In order to demonstrate the assumption of the fixed point theorem,  we give an example. We also clarify the mathematical structure of  some fixed point theorem  proved by Mınak-Helvacı-Altun and  Wardowski-Dung independently.