Fuzzy Continuous Mappings on Fuzzy F-Spaces

In the present paper, we first introduce different types of fuzzy continuity for mappings between F-normed linear spaces and relations them are investigated. Secondly, principles functional analysis established in context F-spaces. More precisely, based on fact that topological equivalent, obtain closed graph theorem open mapping theorem. Using Zabreiko’s lemma, prove uniform bounded principle Banach–Steinhaus Finally, some future research directions presented.