On best approximation in fuzzy metric spaces
Kybernetika, Tome 51 (2015) no. 2, pp. 374-386
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
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
Keywords: best approximation; topology; fuzzy metric spaces
@article{10_14736_kyb_2015_2_0374,
author = {Abbasi, Naser and Mottaghi Golshan, Hamid},
title = {On best approximation in fuzzy metric spaces},
journal = {Kybernetika},
pages = {374--386},
publisher = {mathdoc},
volume = {51},
number = {2},
year = {2015},
doi = {10.14736/kyb-2015-2-0374},
mrnumber = {3350568},
zbl = {06487085},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2015-2-0374/}
}
TY - JOUR AU - Abbasi, Naser AU - Mottaghi Golshan, Hamid TI - On best approximation in fuzzy metric spaces JO - Kybernetika PY - 2015 SP - 374 EP - 386 VL - 51 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2015-2-0374/ DO - 10.14736/kyb-2015-2-0374 LA - en ID - 10_14736_kyb_2015_2_0374 ER -
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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