Best Proximity Points Analysis For Fuzzy Graphical Proximal Contractions In Graphical Fuzzy Metric Spaces

Speaker: Prof. Dr. Zabidin Salleh

In this paper, we initiate the analysis of best proximity point theory in the framework of graphical fuzzy metric spaces, thereby addressing gaps in the existing literature. All results are established under the assumptions of M-Cauchyness and M-completeness. For nonself mappings, we define fuzzy proximal edge-preserving mappings, and (G,G')-fuzzy graphical proximal contractions are introduced. Best proximity point results for this class of contractions are established, and examples are presented to illustrate the validity of the obtained results.