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

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DOI: https://doi.org/10.28924/2291-8639-22-2024-66
Published: Apr 8, 2024
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Parveen Tyagi, Surjeet Singh Chauhan (Gonder), Naveen Mani, Rahul Shukla, F-Modular b-Metric Spaces and Some Analogies of Classical Fixed Point Theorems, Int. J. Anal. Appl., 22 (2024), 66.

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Parveen Tyagi, Surjeet Singh Chauhan (Gonder), Naveen Mani, Rahul Shukla

Abstract

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.

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