Fixed Point Theorem of Ciric-Pata Type

Abstract

In this article, we proved a fixed point theorem of Ćirić-Pata type in metric space. This result extends several results in the existing literature. Moreover, an example is given in the support of our result. In particular, the main result provides a complete solution to an open problem raised by Kadelburg and Radenović (J. Egypt. Math. Soc. 24 (2016) 77-82).is satisfied for every ε ∈ [0, 1] and all x, y ∈ X, then f has a unique fixed point z ∈ X.