Fixed Point Results for Geraghty Type Contraction Mapping in Neutrosophic b‐Metric Spaces

In this article, we introduce the ‐triangular property and develop a new class of Geraghty‐type contractions within the framework of neutrosophic b ‐metric spaces. These tools allow us to derive several new fixed point theorems that not only generalize the classical results but also provide a unified approach to various existing contraction principles. To support our theoretical findings, we construct illustrative examples that highlight the advantages of the proposed approach. Finally, we demonstrate the applicability of our results by establishing the existence of solutions to a class of nonlinear integral equations. MSC2020 Classification: 47H10, 45D05, 54H25