Statistical continuity in probabilistic normed spaces

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.

Keywords:

• probabilistic normed space
• strong topology
• strong statistical convergence
• statistical continuity

Mathematics Subject Classifications 2000 :

• 54E70
• 46S50

Acknowledgement

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