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Applicable Analysis
An International Journal
Volume 87, 2008 - Issue 3
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Original Articles

Statistical continuity in probabilistic normed spaces

Celaleddin Şençimen Faculty of Arts and Sciences, Department of Mathematics, Mehmet Akif Ersoy University, Burdur, TurkeyCorrespondence[email protected]
&
Serpil Pehlivan Faculty of Arts and Sciences, Department of Mathematics, Süleyman Demirel University, Isparta, Turkey
Pages 377-384 | Received 26 Oct 2007, Accepted 29 Jan 2008, Published online: 19 Mar 2008
 
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Abstract

In this study, we investigate the statistical continuity in a probabilistic normed space. In this context, the statistical continuity properties of the probabilistic norm, the vector addition and the scalar multiplication are examined.

Mathematics Subject Classifications 2000 :

Acknowledgement

The authors are grateful to the referees for their valuable suggestions.

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