Geodesic
On best approximation in fuzzy metric spaces
Kybernetika, Tome 51 (2015) no. 2, pp. 374-386 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.14736/kyb-2015-2-0374
Classification : 41A50, 54A40
Keywords: best approximation; topology; fuzzy metric spaces 
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Abbasi, Naser; Mottaghi Golshan, Hamid. On best approximation in fuzzy metric spaces. Kybernetika, Tome 51 (2015) no. 2, pp. 374-386. doi: 10.14736/kyb-2015-2-0374

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