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$$t$$-best approximation in fuzzy normed spaces. (English) Zbl 1171.46051
Summary: The main purpose of this paper is to find $$t$$-best approximations in fuzzy normed spaces. We introduce the notions of $$t$$-proximinal sets and $$F$$-approximations. In particular, we investigate the set of all $$t$$-best approximations to an element from a set.

##### MSC:
 46S40 Fuzzy functional analysis