Uniquely Remotal Sets in $c_0$-sums and $ell^infty$-sums of Fuzzy Normed Spaces

Let $(X, N)$ be a fuzzy normed space and $A$ be a fuzzy bounded subset of $X$. We define fuzzy $ell^infty$-sums and fuzzy $c_0$-sums of fuzzy normed spaces. Then we will show that in these spaces, all fuzzy uniquely remotal sets are singletons.

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Bibliographic Details
Published in:Iranian journal of fuzzy systems (Online) 2012-11, Vol.9 (6), p.113
Main Authors: Kamel Mirmostafaee, Alireza, Mirzavaziri, Madjid
Format: Article
Language:English
Online Access:Get full text
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Description
Summary:Let $(X, N)$ be a fuzzy normed space and $A$ be a fuzzy bounded subset of $X$. We define fuzzy $ell^infty$-sums and fuzzy $c_0$-sums of fuzzy normed spaces. Then we will show that in these spaces, all fuzzy uniquely remotal sets are singletons.
ISSN:1735-0654
2676-4334
DOI:10.22111/ijfs.2012.121