On Farthest Points in Fuzzy Normed Spaces

Abstract

The main purpose of this paper is to find t-farthest points in fuzzy normed spaces. We introduce the concept of t-remotest fuzzy sets and give some interesting theorems. In particular, we study the set of all t-farthest points to an element from a set and discuss some properties of the this set.

Key words and phrases. Fuzzy normed space, t-farthest point, t-remotest fuzzy set, Nearly compact set.

1991 Mathematics Subject Classification. 41A65, 41A52, 46N10