Fixed Point Theorems for Multi-valued α-F-contractions in Partial metric spaces with Some Application

Abstract

This paper aims to prove a xed point theorem for multi-valued mapping using α-F-contraction in partial metric spaces. Furthermore, we prove a xed point theorem for F-Hardy-Roger's multi-valued mappings in ordered partial metric spaces. Specically, this paper intends to generalize the theorems by Ali and Kamran, Sgroi and Vetro and Kumar. We also provided illustrative examples and some applications to integral equations.