Fuzzy fixed point results of generalized almost F $\mathcal{\mathbf{F}}$ -contractions in controlled metric spaces

Abstract In this paper, we derive some common α-fuzzy fixed point results for fuzzy mappings under generalized almost F $\mathcal{\mathbf{F}}$ -contractions in the context of a controlled metric space, which generalize many preexisting results in the literature. As an application, we establish some multivalued fixed point results. For justification of our results, we provide a nontrivial example.