Fuzzy n-normed linear space

Fuzzy n-normed linear space

The primary purpose of this paper is to introduce the notion of fuzzy n-normed linear space as a generalization of n-normed space. Ascending family of α-n-norms corresponding to fuzzy n-norm is introduced. Best approximation sets in α-n-norms are defined. We also provide some results on best approxi...

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Main Authors: AL. Narayanan, S. Vijayabalaji
Format: Article
Language:English
Published: Hindawi Limited 2005-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS.2005.3963
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spelling doaj-33215afac01d4b2f95cbf9fc48b21cca2020-11-24T21:41:05ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005243963397710.1155/IJMMS.2005.3963Fuzzy n-normed linear spaceAL. Narayanan0S. Vijayabalaji1Department of Mathematics, Annamalai University, Annamalai Nagar, Tamilnadu 608002, IndiaDepartment of Mathematics, Annamalai University, Annamalai Nagar, Tamilnadu 608002, IndiaThe primary purpose of this paper is to introduce the notion of fuzzy n-normed linear space as a generalization of n-normed space. Ascending family of α-n-norms corresponding to fuzzy n-norm is introduced. Best approximation sets in α-n-norms are defined. We also provide some results on best approximation sets in α-n-normed space.http://dx.doi.org/10.1155/IJMMS.2005.3963
collection DOAJ
language English
format Article
sources DOAJ
author AL. Narayanan
S. Vijayabalaji
spellingShingle AL. Narayanan
S. Vijayabalaji
Fuzzy n-normed linear space
International Journal of Mathematics and Mathematical Sciences
author_facet AL. Narayanan
S. Vijayabalaji
author_sort AL. Narayanan
title Fuzzy n-normed linear space
title_short Fuzzy n-normed linear space
title_full Fuzzy n-normed linear space
title_fullStr Fuzzy n-normed linear space
title_full_unstemmed Fuzzy n-normed linear space
title_sort fuzzy n-normed linear space
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2005-01-01
description The primary purpose of this paper is to introduce the notion of fuzzy n-normed linear space as a generalization of n-normed space. Ascending family of α-n-norms corresponding to fuzzy n-norm is introduced. Best approximation sets in α-n-norms are defined. We also provide some results on best approximation sets in α-n-normed space.
url http://dx.doi.org/10.1155/IJMMS.2005.3963
work_keys_str_mv AT alnarayanan fuzzynnormedlinearspace
AT svijayabalaji fuzzynnormedlinearspace
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