| 广义锥度量空间的广义度量化 |
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| 引用本文： | 李颖,宋眉眉. 广义锥度量空间的广义度量化[J]. 天津理工大学学报, 2012, 28(3): 7-9 |
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| 作者姓名： | 李颖 宋眉眉 |
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| 作者单位： | 天津理工大学理学院,天津,300384 |
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| 基金项目： | 国家自然科学基金，天津市高等学校科技发展基金 |
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| 摘 要： | 在广义锥度量空间中定义了g(x,y,z)=inf{‖u‖:G(x,y,z)u,x,y,z∈X},使其成为广义锥度量空间,得到了广义度量与广义锥度量的关系,即广义锥度量空间可以度量化.
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| 关 键 词： | 广义锥度量空间 广义度量空间 Cauchy列 |
Generalized metrizability of generalized cone metric spaces |
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| LI Ying , SONG Mei-mei. Generalized metrizability of generalized cone metric spaces[J]. Journal of Tianjin University of Technology, 2012, 28(3): 7-9 |
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| Authors: | LI Ying SONG Mei-mei |
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| Affiliation: | (School of Science,Tianjin University of Technology,Tianjin 300384,China) |
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| Abstract: | We define that in the generalized cone metric space,making it a generalized metric space.Then we obtain a equivalent relation between the generalized cone metric and the generalized metric,i.e.the generalized cone metric space is metrizable. |
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| Keywords: | generalized cone metric space(G-cone metric space) generalized metric space Cauchy sequence |
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