An analysis of fixed point results in graphical fuzzy b-metric spaces with applications

Herein, a concept referred to as graphical fuzzy b -metric spaces is introduced, which generalizes the framework of fuzzy b -metric with the aid of graphical structures. Certain topological aspects corresponding to these spaces are explored, and related fixed point findings are established. These findings extend previously established results in the literature. Instances together with an application concerning equations of motion are included to showcase the feasibility of the established findings.