Best Proximity Results for Multi-Valued $\alpha-F-$Proximal Contractive Mappings

Abdelbasset Felhi

Abstract

Based on the concepts of multi-valued F-contraction and $\alpha$-proximaladmissibility, we establish some best proximity point results for non-self multi-valued mappings. For such mappings, we study the existence of best proximitypoints. We show that many known results in literature are simple consequencesof our obtained results. We also provide some concrete examples illustratingthe obtained results.