THE UNIFORM BOUNDEDNESS PRINCIPLE IN FUZZIFYING TOPOLOGICAL LINEAR SPACES
The main purpose of this study is to discuss the uniform boundedness principle in fuzzifying topological linear spaces. At first the concepts of uniformly boundedness principle and fuzzy equicontinuous family of linear operators are proposed, then the relations between fuzzy equicontinuous and unifo...
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| Published in | Iranian journal of fuzzy systems (Online) Vol. 15; no. 3; p. 141 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Zahedan
University of Sistan and Baluchestan, Iranian Journal of Fuzzy Systems
01.06.2018
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| Online Access | Get full text |
| ISSN | 1735-0654 2676-4334 |
| DOI | 10.22111/ijfs.2018.3954 |
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| Summary: | The main purpose of this study is to discuss the uniform boundedness principle in fuzzifying topological linear spaces. At first the concepts of uniformly boundedness principle and fuzzy equicontinuous family of linear operators are proposed, then the relations between fuzzy equicontinuous and uniformly bounded are studied, and with the help of net convergence, the characterization of fuzzy equicontinuous is proved. Finally, the famous theorem of the uniform boundedness principle is presented in fuzzifying topological linear spaces. |
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| Bibliography: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ISSN: | 1735-0654 2676-4334 |
| DOI: | 10.22111/ijfs.2018.3954 |