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Some remarks on functions with values in probabilistic normed spaces. (English) Zbl 1150.54030
Author’s summary: 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.

54E70 Probabilistic metric spaces
46S50 Functional analysis in probabilistic metric linear spaces
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