| 连续型概率度量的特征及其应用 |
| |
| 引用本文： | 郭进利,丁红艺.连续型概率度量的特征及其应用[J].纯粹数学与应用数学,2006,22(1):37-42,55. |
| |
| 作者姓名： | 郭进利 丁红艺 |
| |
| 作者单位： | 上海理工大学管理学院,上海,200093 |
| |
| 基金项目： | 上海理工大学引进人才专项经费资助项目，上海市重点学科建设资助项目(T0502) |
| |
| 摘 要： | 讨论了连续型概率度量空间,给出了连续型概率度量的特征定理.利用这个特征定理,我们获得了连续型概率度量空间的闭球套定理和M enger空间完备性特征定理.作为本文的应用获得了一个局部概率压缩映象不动点定理.
|
| 关 键 词： | 连续型概率度量 闭球套 完备性特征 |
| 文章编号： | 1008-5513（2006）01-0037-06 |
| 收稿时间： | 2005-03-28 |
| 修稿时间： | 2005-03-28 |
A character theorem of the continuous probabilistic metric and applications |
| |
| GUO Jin-li,DING Hong-yi.A character theorem of the continuous probabilistic metric and applications[J].Pure and Applied Mathematics,2006,22(1):37-42,55. |
| |
| Authors: | GUO Jin-li DING Hong-yi |
| |
| Institution: | Business School University of Shanghai for Science and Technology,shanghai 200093,China |
| |
| Abstract: | This paper discusses the continuous probabilistic metric space,gives a character theorem of the continuous probabilistic metric.Using the theorem,we obtain the theorem of closed ball case in the continuous probabilistic metric space and the complete character theorem of Menger space.The local contraction map principle and Caristi fixed point theorem can be also proved by the theorem. |
| |
| Keywords: | continuous probabilistic metric space closed ball case complete character caristi |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
