The theory and applications of generalized H-space

This paper brings forward the concept of generalized H-spaces which extends the concepts of H-spaces and almost probabilistic metric spaces.In this paper,the uniformity and properties far generalized H-space are considered.The conditions of metrization and the form of metric functions for generalized H-spaces,H-spaces and Menger PM-spaces are given and the characteristics of completeness and compactness for generalized H-spaces are presented.The results of this paper generalize and unify some recent results of[1-2,8,10].     

概率度量空间的度量化及不动点

§1 引言概率度量空间的理论及应用是随机分析理论及应用研究中的重要课题。本文讨论Men—ger概率空间的度量化问题,并对该类空间建立了某些新型的不动点定理.本文的结果改进和发展了引文[1,3,4,5,]中的某些结果     

广义H-空间的理论及其应用*

本文给出了广义H-空间的完备性特征性质和紧性特征性质,同时也研究了这一空间的度量化定理.作为这些理论的应用.我们得到了Menger概率度量空间的完备性特征和紧性特征.给出了该空间的度量化函数的具体形式.