F-Modular b-Metric Spaces and Some Analogies of Classical Fixed Point Theorems

The main aim of this study is to provide a novel concept of F-modular b-metric spaces. Within this comprehensive framework, we establish three well-known fixed point theorems for self -maps. The results we have obtained broaden and enrich prior findings in the field of fixed point theory. To support our arguments, we provide four concrete examples along with graphical representations.