Remarks and a generalization of Hedudus-Szilagyis fixed point theorem

Abstract

A new generalization of the so-called Hedud¨us-Szil´agyi’s fixed point theorem by introducing a new contractive condition in the framework of complete metric spaces. As application, we get a new fixed point theorem which generalizes and improves many known results in literature.

Keywords:

Hedudus-Szilagyi’s fixed point theorem, complete metric spaces, new type contractive condition, Meir-Keeler contraction, orbit