Best Proximity Point theorem for C-class-Proximal non-self mappings and applications

Abstract

Herein, we propose some best proximity point theorems for a novel class of non-self-mappings by using the definition of a pair $(\mathcal{F},h)$ of upper class of type II and the concept of $C$-class functions. Several consequences are suggested.  We support  our obtained results by concrete examples. At the end, an application on fractional differential equations is presented.