Single-valued and set-valued dualistic partial F-weak contraction and applications

Abstract

The aim is to introduce a dualistic partial F?weak contraction for single-valued and set-valued maps to establish a fixed point. Our outcomes propose a new solution in a dualistic partial metric space to the response of a contractive map having a fixed point at the point of discontinuity. We provide examples and applications to demonstrate the significance of our theoretical conclusions by resolving a two-point periodic boundary value problem and an integral inclusion of the Volterra-type.