| K型Lipschitz映射非对称度量空间及其完备性 |
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| 引用本文： | 李文.K型Lipschitz映射非对称度量空间及其完备性[J].平顶山学院学报,2012,27(2):11-15. |
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| 作者姓名： | 李文 |
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| 作者单位： | 平顶山学院数学与信息科学学院,河南平顶山,467099 |
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| 基金项目： | 河南省教育厅自然科学研究计划项目 |
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| 摘 要： | 利用从非对称度量空间（X,d）到（R,dL）上的左K型Lipschitz映射和右K型Lipschitz映射构造了两类非对称度量空间,并分别证明了其上完备性和下完备性.
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| 关 键 词： | 非对称度量空间 左(右)K型Lipschitz映射 上(下)完备 |
Asymmetric Space and Completeness of K-Lipschitz Mapping |
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| LI Wen.Asymmetric Space and Completeness of K-Lipschitz Mapping[J].Journal of Pingdingshan University,2012,27(2):11-15. |
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| Authors: | LI Wen |
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| Institution: | LI Wen(School of Mathematics and Information Science,Pingdingshan University,Pingdingshan,Henan 467099,China) |
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| Abstract: | Based on the left K-Lipschitz mapping and right K-Lipschitz mapping from asymmetric space(X,d) to(R,dL),two types of quasi-metric spaces are structured,and the upper and lower completeness of the two types of asymmetric spaces are proved respectively in this paper. |
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| Keywords: | asymmetric space left(right) K-Lipschitz mapping upper(lower) completeness |
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