menger probabilistic normed space is a category topological vector space

Authors

ildar sadeqi

department of mathematics, faculty of science, sahand university of technology, tabriz, iran. farnaz yaqub azari

university of payame noor, tabriz, iran.

abstract

in this paper, we formalize the menger probabilistic normed space as a category in which its objects are the menger probabilistic normed spaces and its morphisms are fuzzy continuous operators. then, we show that the category of probabilistic normed spaces is isomorphicly a subcategory of the category of topological vector spaces. so, we can easily apply the results of topological vector spaces in probabilistic normed spaces.

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Journal title:
sahand communications in mathematical analysis

جلد ۳، شماره ۲، صفحات ۲۵-۳۲

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