A New Approach to Fixed Point Results in Neutrosophic b-Metric Spaces with Application

Abstract

This study defines an extended Neutrosophic b-Metric Space (NbMS) and illustrates the characteristics that are essential to its structure. The Fixed Point (FP) theorem has therefore been proved in the context of these Extended Neutrosophic b-Metric Spaces (ENbMS). Our results show symmetrical patterns and features within these mathematical frameworks, both extending and generalizing the results found in the current literature. A nontrivial example is used to highlight the efficacy of the suggested approaches. To emphasize the usefulness of our primary findings, an application to the existence and uniqueness of solutions for a particular class of Fredholm integral equations is investigated.