Common fixed point results in $ \mathcal{F} $-metric spaces with application to nonlinear neutral differential equation

Abstract

<abstract><p>The aim of this article is to obtain common fixed point results for generalized contractions involving control functions of two variables in the context of $ \mathcal{F} $-metric spaces. We also furnish an example to show the originality of our main result. Some results in the context of $ \mathcal{F} $-metric space equipped with a directed graph $ G $ are also established. As an application, we discuss the existence of solution to nonlinear neutral differential equation.</p></abstract>