Menger probabilistic normed space is a category topological vector space

Sadeqi, Ildar; Yaqub Azari, Farnaz

Document Type : Research Paper

Authors

Ildar Sadeqi ¹
Farnaz Yaqub Azari ²

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.

Keywords

20.1001.1.23225807.2016.03.2.3.8

Main Subjects

Fuzzy Topology

References

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Sahand Communications in Mathematical Analysis

Menger probabilistic normed space is a category topological vector space

References

References

Volume 03, Issue 2
June 2016
Pages 25-32

Menger probabilistic normed space is a category topological vector space

References

References

Volume 03, Issue 2June 2016Pages 25-32

Volume 03, Issue 2
June 2016
Pages 25-32