On the Theory of Probabilistic Metric Spaces with Applications

被引：17

作者：

张石生

机构：

[1] Department of Mathematics

[2] Sichuan University

来源：

ActaMathematicaSinica | 1985年 / 04期

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D O I：

暂无

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学科分类号：

摘要：

<正>§ 0. IntroductionThe purpose of this paper is to investigate the theory of probabilistic metric spaces (PM-spaces) and its applications. In § 1 we introduce a kind of Menger PM-spaces. By virtue of their basic properties and the Menger-Hausdorff metric defined for this kind of spaces, in § 2 we shall give some fixed point theorems for multi-valued mappings on PM-spaces. In addition, in § 3 we shall give some fixed point theorems for one-valued mappings on PM-space, which generalize and improve

引用

页码：366 / 377

页数：12