Sadeqi, I., Yaqub Azari, F. (2016). Menger probabilistic normed space is a category topological vector space. Sahand Communications in Mathematical Analysis, 03(2), 25-32.

Ildar Sadeqi; Farnaz Yaqub Azari. "Menger probabilistic normed space is a category topological vector space". Sahand Communications in Mathematical Analysis, 03, 2, 2016, 25-32.

Sadeqi, I., Yaqub Azari, F. (2016). 'Menger probabilistic normed space is a category topological vector space', Sahand Communications in Mathematical Analysis, 03(2), pp. 25-32.

Sadeqi, I., Yaqub Azari, F. Menger probabilistic normed space is a category topological vector space. Sahand Communications in Mathematical Analysis, 2016; 03(2): 25-32.

Menger probabilistic normed space is a category topological vector space

^{1}Department of Mathematics, Faculty of Science, Sahand University of Technology, Tabriz, Iran.

^{2}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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