The main result in the reference is improved with a great reduction of its proof procedure,and a probabilistic metric space is proposed that finds important applications in probabilistically differential equation theory.
把文献[1]中的引理推广为分析概率论中有用的极限定理,改进了文献[1]的主要结果及简化了其证明过程,并获得了一个在概率微分方程理论中有重要应用的实用概率度量空间；给出了随机线性泛函延拓定理的应用；建立了概率微分方程解的局部存在性定理。
Paper,partial order is introduced in probabilistic metric space.
利用泛函在概率度量空间中引入半序,并利用此半序的方法研究了概率度量空间中的非线性算子方程Lx=Ax的可解性问题,得到了几个新的定理,同时推广了若干重要定理。
These results not only unify and extend the corresponding results of usual metric spaces and Menger probabilistic metric spaces,but also cont.
这些定理不仅推广与统一了通常度量空间与Menger概率度量空间的相应结果,而且也包含了Kaleva-Seikkala模糊度量空间中压缩型映射的不动点定理作为其特殊情形。
This dissertation deals with some new fixed point theorems in Menger probabilistic metric spaces, which include common fixed point theorems of weakly compatible mappings under strict contractive conditions and common fixed point theorems of compatible and weakly compatible mappings underφ-contractive conditions.
本文研究Menger概率度量空间中某些新的不动点定理，主要包括严格压缩条件下的弱相容映射的公共不动点定理和φ-压缩条件下的相容和弱相容映射的公共不动点定理。
Research on Some Nonlinear Problems in Probabilistic Metric Spaces;
关于概率度量空间中非线性问题的研究
The Theorem of Stationary Point of R-Mapping of Weekly Exchange in the Probability Metric Space;
概率度量空间中R-弱交换映射不动点定理研究
A Fixed Point Theorem of SST-Space Compressed Model Mapping Pair;
概率度量空间压缩型映射对的一个不动点定理
One Fixed Point Theorem for a Contractive Mapping in the Probability Metric Space
概率度量空间中的一类压缩映像不动点定理
FIXED POINT THEOREMS FOR A PAIR OF CONTRACTIVE MAPPINGS IN PROBABILISTIC METRIC SPACE
关于概率度量空间中压缩型映象对的不动点定理
Probabilisticly equicontinuous operator and probabilisticly quasi-bounded in PN space
PN空间中概率等度连续算子和概率拟有界
THE PROBABILITY SPACEIN WHICH ANY SORT OF RANDOM VARIABLE CAN BE DEFINED
可以定义任何类型随机变量的概率空间
Probabilistic Interval Approach for Determining the Demand of Aviation Spares
航空装备备件需求量的概率区间计算方法
Probabilistic Norm of Linear Operators on PN Space
概率赋范空间上线性算子的概率范数
multi-variate probability density functio
多变量概率密度函数
On Gdel 3-valued Truth Degree Theory in the Space of Uneven Discrete Probability;
逻辑系统G_3在非均匀概率空间下命题的真度理论
On the Theory of Truth Degree of Propositions in Two-valued Logic in the Space of Uneven Probability;
一种非均匀概率空间下二值命题逻辑中命题的真度理论
Truth degree theory of propositions in Godel 3-valued logic system in the space of unevenly distributed probability
一种非均匀概率空间下逻辑系统G_3中命题的真度理论
Randers Spaces of Constant S-curvature Induced by Almost Contact Metric Structures;
由几乎切触度量结构诱导的常S-曲率Randers空间
The Theory of Menger Probabilistic Inner Product Spaces;
Menger概率内积空间的基本理论
Estimation of the Failure Probability in the C[0,1] Space;
C[0，1]空间上一类极端事件概率的估计
Research into the Choice of the Classic Probabilistic Model with Examples;
例谈计算古典概率时样本空间的选取
Optimized Poincarés Inequality in Probability Space
概率空间上较优的Poincaré不等式
