Probabilistic Normed Groups

نویسندگان

  • Alireza Pourmoslemi Department of Mathematics, Payame Noor University, P.O.BOX 19395-3697, Tehran, Iran.
  • Kourosh Nourouzi Faculty of Mathematics, K.N.Toosi University of Technology, P.O.Box 16315-1618, Tehran, Iran.
چکیده مقاله:

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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عنوان ژورنال

دوره 14  شماره 1

صفحات  99- 113

تاریخ انتشار 2017-02-28

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