PPF-dependent fixed point results for new multi-valued generalized F-contraction in the Razumikhin class with an application

Abstract

In this paper, a new multi-valued generalized F-contraction mapping is given. Using it, the existence of PPF-dependent fixed point for such mappings in the Razumikhin class is obtained. Moreover, an application for nonlinear integral equations with delay is presented here to illustrate the usability of the obtained results.