Title : ( Closability of farthest point maps in fuzzy normed spaces )
Authors: Madjid Mirzavaziri , Seyyed Alireza Kamel Mirmostafaee ,
Full TextAbstract
Abstract. Let (X, N) be a fuzzy normed space. For each < alpha < 1 and a nonempty subset A of X, we define a natural notion for alpha -farthest points from A and a set-valued map x to Q_(A; x) , called the fuzzy alpha -farthest point map. Then we will investigate basic properties of the fuzzy alpha -farthest point mapping. In particular, we show that the fuzzy alpha -farthest point map is closable
Keywords
, Fuzzy normed spaces, fuzzy remotal set.
@article{paperid:1019721,
author = {Mirzavaziri, Madjid and Kamel Mirmostafaee, Seyyed Alireza},
title = {Closability of farthest point maps in fuzzy normed spaces},
journal = {Bulletin of Mathematical Analysis and Applications},
year = {2010},
volume = {2},
number = {4},
month = {November},
issn = {1821-1291},
pages = {140--145},
numpages = {5},
keywords = {Fuzzy normed spaces; fuzzy remotal set.},
}
%0 Journal Article
%T Closability of farthest point maps in fuzzy normed spaces
%A Mirzavaziri, Madjid
%A Kamel Mirmostafaee, Seyyed Alireza
%J Bulletin of Mathematical Analysis and Applications
%@ 1821-1291
%D 2010
