| 非对称度量空间上不动点定理 |
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| 引用本文： | 李文,陈少白.非对称度量空间上不动点定理[J].武汉科技大学学报(自然科学版),2007,30(3):333-336. |
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| 作者姓名： | 李文 陈少白 |
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| 作者单位： | 武汉科技大学理学院,湖北,武汉,430081 |
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| 摘 要： | 提出建立在非对称度量空间之间的上收缩映射和下收缩映射的概念.考虑到非对称度量的不对称性,进一步定义了非对称度量空间到自身映射的左不动点和右不动点.最后,给出了非对称度量空间上的两个不动点定理.
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| 关 键 词： | 非对称度量空间 上完备 上收缩 左不动点 |
| 文章编号： | 1672-3090（2007）03-0333-04 |
| 修稿时间： | 2006-11-09 |
Fixed point theorems in quasi-metric spaces |
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| Li Wen,Chen Shaobai.Fixed point theorems in quasi-metric spaces[J].Journal of Wuhan University of Science and Technology(Natural Science Edition),2007,30(3):333-336. |
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| Authors: | Li Wen Chen Shaobai |
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| Institution: | College of Science, Wuhan University of Science and Technology, Wuhan 430081, China |
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| Abstract: | In this paper,the notion of upper(lower) contraction of mapping between quasi-metric spaces is put forward.Because of the asymmetry of the quasi-metric,the concept of left(right) fixed point of the mapping from a quasi-metric space to itself is given.And two fixed point theorems in quasi-metric spaces are obtained. |
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| Keywords: | quasi-metric space upper completeness upper contraction left fixed point |
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