Fixed Points Of Mappings On The Fuzzy Reflexive Spaces

Authors : Bayaz DARABY, Z SOLİMANİ

Pages : 729-735

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Publication Date : 2015-12-16

Article Type : Research Paper

Abstract :In this paper we first define the new notion of fuzzy uniform normal structure. Moreover, it is proved that the spectrum of the category of fuzzy reexive spaces is broader than the category of the spaces has 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.  
Keywords : Fixed point, Fuzzy norm, Fuzzy normed spaces, Fuzzy reflexive spaces