On best approximation in fuzzy metric spaces

Naser Abbasi; Hamid Mottaghi Golshan

Kybernetika (2015)

  • Volume: 51, Issue: 2, page 374-386
  • ISSN: 0023-5954

Abstract

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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.

How to cite

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Abbasi, Naser, and Mottaghi Golshan, Hamid. "On best approximation in fuzzy metric spaces." Kybernetika 51.2 (2015): 374-386. <http://eudml.org/doc/270139>.

@article{Abbasi2015,
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.},
author = {Abbasi, Naser, Mottaghi Golshan, Hamid},
journal = {Kybernetika},
keywords = {best approximation; topology; fuzzy metric spaces; best approximation; topology; fuzzy metric spaces},
language = {eng},
number = {2},
pages = {374-386},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On best approximation in fuzzy metric spaces},
url = {http://eudml.org/doc/270139},
volume = {51},
year = {2015},
}

TY - JOUR
AU - Abbasi, Naser
AU - Mottaghi Golshan, Hamid
TI - On best approximation in fuzzy metric spaces
JO - Kybernetika
PY - 2015
PB - Institute of Information Theory and Automation AS CR
VL - 51
IS - 2
SP - 374
EP - 386
AB - 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.
LA - eng
KW - best approximation; topology; fuzzy metric spaces; best approximation; topology; fuzzy metric spaces
UR - http://eudml.org/doc/270139
ER -

References

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