Common fixed point results in F " role="presentation" style="position: relative;"> F F \mathcal{F} -metric spaces with application to nonlinear neutral differential equation

[摘要] 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.

[学科分类] 地球科学(综合)

[关键词] fixed point;$ \mathcal{F} $-metric space;generalized contractions;control functions;differential equation