@article{article_937822, title={Fixed Point Theorems for Multi-valued $\alpha$-$F$- contractions in Partial metric spaces with an Application}, journal={Results in Nonlinear Analysis}, volume={4}, pages={130–148}, year={2021}, DOI={10.53006/rna.937822}, author={Wangwe, Lucas and Kumar, Santosh}, keywords={Fixed point, multi-valued mapping, $\alpha$-F-contraction, Hardy-Rogers contraction, partial metric spaces, integral equation.}, 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.}, number={3}, publisher={Erdal KARAPINAR}, organization={None}