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

Kamel Mirmostafaee, Alireza; Mirzavaziri, Madjid

doi:10.22111/ijfs.2012.121

Document Type : Research Paper

Authors

¹ Center of Excellence in Analysis on Algebraic Struc- tures, Department of Pure Mathematics, Ferdowsi University of Mashhad, P. O. Box 1159, Mashhad 91775, Mashhad, Iran

² Center of Excellence in Analysis on Algebraic Structures, De- partment of Pure Mathematics, Ferdowsi University of Mashhad, P. O. Box 1159, Mash- had 91775, Mashhad, Iran

https://doi.org/10.22111/ijfs.2012.121

Abstract

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.

Keywords

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

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Volume 9, Issue 6 - Serial Number 6November and December 2012Pages 113-122

Volume 9, Issue 6 - Serial Number 6
November and December 2012
Pages 113-122