Rational contractions on complex-valued extended $ b $-metric spaces and an application

Abstract

<abstract><p>The aim of this article is to obtain common fixed point results on complex-valued extended $ b $-metric spaces for rational contractions involving control functions of two variables. Our theorems generalize some famous results in the literature. We supply an example to show the originality of our main result. As an application, we develop common fixed point results for rational contractions involving control functions of one variable in the class of complex-valued extended $ b $-metric spaces.</p></abstract>