Fixed-point results for fuzzy generalized β - F -contraction mappings in fuzzy metric spaces and their applications

In this paper, we introduce fuzzy generalized β - F -contractions as a generalization of fuzzy F -contractions with admissible mappings. We deduce sufficient conditions for the existence and uniqueness of fixed points for fuzzy generalized β - F -contractions in complete strong fuzzy metric spaces. Our results generalize several fixed-point results from the literature. We present an application of our main result.