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

Abstract

AbstractIn this paper, we derive some common α-fuzzy fixed point results for fuzzy mappings under generalized almost $\mathcal{\mathbf{F}}$ 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.