Fuzzy Normed Linear Spaces Generated By Linear Functionals
For a nonzero normed linear space X, we will define some different classes of fuzzy norms on X generated by linear and bounded linear functionals. Also separate continuity of the elements within each class are investigated. The aim of this research is to introduce a source of examples and counterexa...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2024-07-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | https://scma.maragheh.ac.ir/article_711076_43fb611409b45f28e707236ade606689.pdf |
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| _version_ | 1823859389903142912 |
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| author | Ali Reza Khoddami Fatemeh Kouhsari |
| author_facet | Ali Reza Khoddami Fatemeh Kouhsari |
| author_sort | Ali Reza Khoddami |
| collection | DOAJ |
| description | For a nonzero normed linear space X, we will define some different classes of fuzzy norms on X generated by linear and bounded linear functionals. Also separate continuity of the elements within each class are investigated. The aim of this research is to introduce a source of examples and counterexamples in the field of fuzzy normed spaces. |
| format | Article |
| id | doaj-art-446dd111cc1c4be89a21eaf6e8bfb130 |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2024-07-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-446dd111cc1c4be89a21eaf6e8bfb1302025-02-11T05:27:30ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002024-07-0121311910.22130/scma.2023.2012528.1476711076Fuzzy Normed Linear Spaces Generated By Linear FunctionalsAli Reza Khoddami0Fatemeh Kouhsari1Faculty of Mathematical Sciences, Shahrood University of Technology, P. O. Box 3619995161-316, Shahrood, Iran.Faculty of Mathematical Sciences, Shahrood University of Technology, P. O. Box 3619995161-316, Shahrood, Iran.For a nonzero normed linear space X, we will define some different classes of fuzzy norms on X generated by linear and bounded linear functionals. Also separate continuity of the elements within each class are investigated. The aim of this research is to introduce a source of examples and counterexamples in the field of fuzzy normed spaces.https://scma.maragheh.ac.ir/article_711076_43fb611409b45f28e707236ade606689.pdffuzzy normlinear spacelinear functionalseparate continuity |
| spellingShingle | Ali Reza Khoddami Fatemeh Kouhsari Fuzzy Normed Linear Spaces Generated By Linear Functionals Sahand Communications in Mathematical Analysis fuzzy norm linear space linear functional separate continuity |
| title | Fuzzy Normed Linear Spaces Generated By Linear Functionals |
| title_full | Fuzzy Normed Linear Spaces Generated By Linear Functionals |
| title_fullStr | Fuzzy Normed Linear Spaces Generated By Linear Functionals |
| title_full_unstemmed | Fuzzy Normed Linear Spaces Generated By Linear Functionals |
| title_short | Fuzzy Normed Linear Spaces Generated By Linear Functionals |
| title_sort | fuzzy normed linear spaces generated by linear functionals |
| topic | fuzzy norm linear space linear functional separate continuity |
| url | https://scma.maragheh.ac.ir/article_711076_43fb611409b45f28e707236ade606689.pdf |
| work_keys_str_mv | AT alirezakhoddami fuzzynormedlinearspacesgeneratedbylinearfunctionals AT fatemehkouhsari fuzzynormedlinearspacesgeneratedbylinearfunctionals |