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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
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