Applications of Multivalued $\mathcal{F}_\delta$-Contraction with Stability Results

Gopal Meena, Deepak Singh, Mudasir Younis, Vishal Joshi

Abstract

The aim of this paper is to propose some new tripled coincidence and tripled fixed point theorems in the natural setting of metric spaces. First, we introduce the notion of multivalued almost $\mathcal{F}_\delta$-contraction endowed with suitable examples. Second, we utilize the established results to derive stability for the tripled coincidence point sets. Final section is devoted to the application part, where we apply our results to establish the existence of solution of matrix equations and integral inclusions so as to demonstrate the materiality and viability of our results, which is further garnished by a numerical experiment.