Fixed Points Of Mappings On The Fuzzy Reflexive Spaces

Year 2015, Volume: 28 Issue: 4, 729 - 735, 16.12.2015

Bayaz Daraby , Z. Solimani

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

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