Mazur-Ulam theorem for probabilistic 2-normed spaces

Volume 8, Issue 6, pp 1228--1233 http://dx.doi.org/10.22436/jnsa.008.06.29

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Authors

Wasfi Shatanawi - Department of Mathematics, Hashemite University, P. O. Box 150459, Zarqa 13115, Jordan. Mihai Postolache - Department of Mathematics and Informatics, University Politehnica of Bucharest, Bucharest, 060042, Romania.

Abstract

In this paper we prove the Mazur-Ulam theorem for probabilistic 2-normed spaces. Our study is a natural continuation of that of Cobzas [S. Cobzas, Aequationes Math., 77 (2009) 197-205].

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Keywords

• Isometry map
• Mazur-Ulam theorem
• invex set
• linearly dependent.

MSC

•  46B20
•  46S50
•  54E70

References

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