| 非对称度量空间上不动点定理 |
| |
| 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 |
| |
| 作者姓名： | 李文 陈少白 |
| |
| 作者单位： | 武汉科技大学理学院,湖北,武汉,430081 |
| |
| 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.
|
| 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 |
| |
| 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 |
| |
| Authors: | Li Wen Chen Shaobai |
| |
| Affiliation: | College of Science, Wuhan University of Science and Technology, Wuhan 430081, China |
| |
| 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. |
| |
| Keywords: | quasi-metric space upper completeness upper contraction left fixed point |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
