Some remarks on functions with values in probabilistic normed spaces

Mathematica Slovaca

Ioan Goleţ¹ 

关键词: probabilistic normed space;    random function;   

DOI  :  10.2478/s12175-007-0021-8

学科分类：数学（综合）

来源: Slovenska Akademia Vied * Matematicky Ustav / Slovak Academy of Sciences, Mathematical Institute

【 摘 要 】

In this paper we consider an enlargement of the notion of the probabilistic normed space. For this new class of probabilistic normed spaces we give some topological properties. By using properties of the probabilistic norm we prove some differential and integral properties of functions with values into probabilistic normed spaces. As special cases, results for deterministic and random functions can be obtained.

【 授权许可】

Unknown