New Fixed Point Results inF-Quasi-Metric Spaces and an Application

Abstract

The main goal of the present paper is to obtain several fixed point theorems in the framework ofF-quasi-metric spaces, which is an extension ofF-metric spaces. Also, a Hausdorff delta-distance in these spaces is introduced, and a coincidence point theorem regarding this distance is proved. We also present some examples for the validity of the given results and consider an application to the Volterra-type integral equation.