| 摘要: |
| 本文给出了锥度量空间中的锥的一些性质.利用完备性概念,得到了此空间中的闭球套定理,改进了前人在度量空间中的相应结果. |
| 关键词: 正规锥 锥度量空间 闭球套定理 |
| DOI: |
| 分类号:O177.91 |
| 基金项目:Supported by the Foundation of Education Ministry of Hubei Province (D20102502). |
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| SOME NEW TOPOLOGICAL PROPERTIESIN CONE METRIC SPACES |
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HUANG Hua-ping, XU Shao-yuan
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School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, China
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| Abstract: |
| In this paper, we study some properties with respect to cones in cone metric spaces. By using the notions of completeness, we obtain nested closed-ball theorem in such spaces, which improves some previous conclusions in metric spaces. |
| Key words: normal cone cone metric space nested closed-ball theorem |