Some topological properties of L-fuzzy normed spaces
| Autor: | Ming-hua Mao, Jin-xuan Fang |
|---|---|
| Rok vydání: | 2012 |
| Předmět: |
Discrete mathematics
Normed algebra Mathematics::General Mathematics Logic Topology Continuous functions on a compact Hausdorff space Topological vector space Bounded operator Strictly convex space Artificial Intelligence Locally convex topological vector space Reflexive space Mathematics Normed vector space |
| Zdroj: | Fuzzy Sets and Systems. 195:100-108 |
| ISSN: | 0165-0114 |
| DOI: | 10.1016/j.fss.2011.12.002 |
| Popis: | In this paper, the L-topological structure of L-fuzzy normed linear spaces is discussed. Firstly, we prove that the L-fuzzy normed linear space is a special type of Hausdorff locally convex and locally bounded L-topological vector space by a new way. Secondly, we characterize the convergence of a sequence of L-fuzzy points in L-fuzzy normed linear space. Finally, we use the convergence of a sequence of L-fuzzy points to describe the containment relationship of two L-fuzzy topologies induced by two L-fuzzy norms; and we give a necessary and sufficient condition for two L-fuzzy norms to be equivalent. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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