Some remarks on functions with values in probabilistic normed spaces |
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Authors: | Ioan Gole? |
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Institution: | (1) Department of Mathematics, “Politehnica” University, RO-300006 Timişoara, Romania |
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Abstract: | 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.
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Keywords: | probabilistic normed space random function |
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