Fixed Point Theorems for Multi-valued $alpha$-$F$- contractions in Partial metric spaces with an Application

Authors : Lucas WANGWE, Santosh KUMAR

Pages : 130-148

Doi:10.53006/rna.937822

View : 39 | Download : 21

Publication Date : 2021-09-30

Article Type : Research Paper

Abstract :This paper aims to prove a fixed point theorem for multi-valued mapping using $\alpha-F$-contraction in partial metric spaces. Furthermore, a fixed point theorem is proved for F-Hardy-Roger’s multi-valued mappings in ordered partial metric spaces. Specifically, this paper intends to generalize the theorems by Ali and Kamran [3], Sgroi and Vetro [32] and Kumar [15]. We also provided illustrative examples and an application to integral equations.
Keywords : Fixed point, multi valued mapping, alpha F contraction, Hardy Rogers contraction, partial metric spaces, integral equation

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