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

نویسندگان
Kamel Mirmostafaee, Alireza ID 1
Mirzavaziri, Madjid ID 2

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

doi
10.22111/ijfs.2012.121
چکیده

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.

کلیدواژه‌ها
Fuzzy normed spaces, Fuzzy remotal set