| 概率度量空间的拓扑结构和度量化问题及其应用 |
| |
| 引用本文： | 张石生 向淑文. 概率度量空间的拓扑结构和度量化问题及其应用[J]. 曲阜师范大学学报, 1990, 16(3): 1-9 |
| |
| 作者姓名： | 张石生 向淑文 |
| |
| 作者单位： | 四川大学数学系，贵州师大数学系 |
| |
| 摘 要： | 本文研究了概率度量空间的拓扑结构和度量化的问題,得到了一种充分条件,给出其具体度量函数的形式,并由此得到了概率度量空间中的Ekeland变分原理和Caristi定理,以及概率度量空间和非阿基米德概率度量空间中映象的不动点定理。
|
| 关 键 词： | 概率度量空间 拓扑 度量化 |
Topological Structure and Metrization Problem of Probabilistic Metric Spaces and Application |
| |
| Zhang Shisheng Xiang Shuwen. Topological Structure and Metrization Problem of Probabilistic Metric Spaces and Application[J]. Journal of Qufu Normal University(Natural Science), 1990, 16(3): 1-9 |
| |
| Authors: | Zhang Shisheng Xiang Shuwen |
| |
| Affiliation: | Zhang Shisheng Xiang Shuwen |
| |
| Abstract: | In this paper, we study topological structure and metrization problem of probabilistic metric spaces, obtain a kind of sufficient conditions and give the form of concretely metric function. And then we obtain Ekeland varia tional pr-inciple and Caristi theorem on probabilistic metric spaces,and the fixed points theorem of mapping on probabilistic metric spaces andnon-Archimedean probabilistic spaces. |
| |
| Keywords: | Probabilistic metric spaces Topological structure Metrization Ekeland variational principle Caristi theorem fixed points theorem |
| 本文献已被 CNKI 维普 等数据库收录！ |
