BASIC THEORY AND APPLICATIONS OF PROBABILISTIC METRIC SPACES(Ⅰ)

被引：1
|
作者：
张石生
机构：
来源：
Applied Mathematics and Mechanics(English Edition) | 1988年 / 02期
关键词：
PM; BASIC THEORY AND APPLICATIONS OF PROBABILISTIC METRIC SPACES;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper is devoted to the study of the basic theory and applications of probabilistic metric spaces (PM-space). In this paper the topological structure and properties for PM-space are considered. The conditions of metrization and the form of metric functions for PM-spaces. Menger PM-spaces and probabilistic normed linear spaces (PN-space ) are given and the characterizations of various probabilistically bounded sets are presented. As applications we utilize these results obtained in this paper to study the linear operator theory and fixed point theory on PM-spaces.
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页码：123 / 133
页数：11
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