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: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.3963 |
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| _version_ | 1832549223835369472 |
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| author | AL. Narayanan S. Vijayabalaji |
| author_facet | AL. Narayanan S. Vijayabalaji |
| author_sort | AL. Narayanan |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-33215afac01d4b2f95cbf9fc48b21cca |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-33215afac01d4b2f95cbf9fc48b21cca2025-02-03T06:11:43ZengWileyInternational 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 |
| spellingShingle | AL. Narayanan S. Vijayabalaji Fuzzy n-normed linear space International Journal of Mathematics and Mathematical Sciences |
| title | 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_short | Fuzzy n-normed linear space |
| title_sort | fuzzy n normed linear space |
| url | http://dx.doi.org/10.1155/IJMMS.2005.3963 |
| work_keys_str_mv | AT alnarayanan fuzzynnormedlinearspace AT svijayabalaji fuzzynnormedlinearspace |