New fixed point results in \(\mathscr{F}\)-quasi-metric spaces and an application (Q2246573)

Summary: The main goal of the present paper is to obtain several fixed point theorems in the framework of \(\mathscr{F}\)-quasi-metric spaces, which is an extension of \(\mathscr{F}\)-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.