On fuzzy 2-normed linear spaces (Q2748637)
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scientific article; zbMATH DE number 1660541
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On fuzzy 2-normed linear spaces |
scientific article; zbMATH DE number 1660541 |
Statements
27 October 2002
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fuzzy 2-normed linear space
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fuzzy pseudo-norm
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fuzzy linear 2-functional
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fuzzy metric space
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Hahn-Banach theorem
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On fuzzy 2-normed linear spaces (English)
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In this paper, the authors introduce the concept of fuzzy 2-normed linear space and obtained some properties of this space. They prove that a fuzzy linear 2-functional \(F\) is continuous if and only if it is bounded. The Hahn-Banach theorem is established in the fuzzy 2-normed linear space.
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