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.
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.
出处
《纯粹数学与应用数学》
CSCD
北大核心
2006年第1期37-42,55,共7页
Pure and Applied Mathematics
基金
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)
关键词
连续型概率度量
闭球套
完备性特征
continuous probabilistic metric space, closed ball case, complete character,caristi
