TY - JOUR T1 - Fixed Point Theorems for Multi-valued $\alpha$-$F$- contractions in Partial metric spaces with an Application AU - Kumar, Santosh AU - Wangwe, Lucas PY - 2021 DA - September DO - 10.53006/rna.937822 JF - Results in Nonlinear Analysis JO - RNA PB - Erdal KARAPINAR WT - DergiPark SN - 2636-7556 SP - 130 EP - 148 VL - 4 IS - 3 LA - en AB - 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. KW - Fixed point KW - multi-valued mapping KW - $\alpha$-F-contraction KW - Hardy-Rogers contraction KW - partial metric spaces KW - integral equation. CR - [1] M. Abbas, B. Ali and S. 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