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

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

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

References

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Iranian Journal of Fuzzy Systems
Volume 9, Issue 6 - Serial Number 6
November and December 2012
Pages 113-122

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