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

Authors

  • Alireza Kamel Mirmostafaee 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
  • Madjid Mirzavaziri 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 boundedsubset of $X$.  We define fuzzy $ell^infty$-sums and fuzzy $c_0$-sums offuzzy normed spaces. Then we will show that in these spaces, all  fuzzyuniquely remotal sets are singletons.

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Journal title

volume 9  issue 6

pages  113- 122

publication date 2012-12-02

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