Probabilistic Normed Groups
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Abstract:
In this paper, we introduce the probabilistic normed groups. Among other results, we investigate the continuityof inner automorphisms of a group and the continuity of left and right shifts in probabilistic group-norm. We also study midconvex functions defined on probabilistic normed groups and give some results about locally boundedness of such functions.
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Journal title
volume 14 issue 1
pages 99- 113
publication date 2017-02-28
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