Kybernetika 51 no. 2, 374-386, 2015

On best approximation in fuzzy metric spaces

Naser Abbasi and Hamid Mottaghi GolshanDOI: 10.14736/kyb-2015-2-0374

Abstract:

In this paper we introduce the notation of t-best approximatively compact sets, t-best approximation points, t-proximinal sets, t-boundedly compact sets and t-best proximity pair in fuzzy metric spaces. The results derived in this paper are more general than the corresponding results of metric spaces, fuzzy metric spaces, fuzzy normed spaces and probabilistic metric spaces.

Keywords:

best approximation, topology, fuzzy metric spaces

Classification:

54A40, 41A50

paper.pdf

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