Fixed point results in $ b $-metric spaces with applications to integral equations

Abstract

<abstract><p>The purpose of this article is to obtain common fixed point results in $ b $-metric spaces for generalized rational contractions involving control functions of two variables. We provide an example to show the originality of our main result. As outcomes of our results, we derive certain fixed and common fixed point results for rational contractions presuming control functions of one variable and constants. As an application, we investigate the solution of an integral equation.</p></abstract>