In this paper, we first define the new notion of fuzzy uniform normal structure. Moreover, we prove that the spectrum of the category of fuzzy reflexive spaces is broader than the category of the spaces which have fuzzy normal structure. Also, we introduce the notions of FNST, FNSTN and we prove the theorems of the fixed points of some classes of mappings on the sets from the fuzzy reflexive space, which have some of the properties FNST, FNSTN.
