Fixed point theorems for extended interpolative Kanann-Ćirić-Reich-Rus non-self type mapping in hyperbolic complex-valued metric space

Abstract

This paper aims to demonstrate the fixed point theorem for extended interpolative non-self-type contraction mapping in hyperbolic complex-valued metric spaces. We provide an example for verification of the results. Further, as an application, we prove the existence and uniqueness of solutions for a class of Hadamard partial fractional integral equations by applying some fixed point theorems.