Probabilistic Normed Groups

نویسندگان
Nourouzi, Kourosh ID 1
Pourmoslemi, Alireza ID 2

1 Faculty of Mathematics, K.N.Toosi University of Technology, P.O.Box 16315-1618, Tehran, Iran.

2 Department of Mathematics, Payame Noor University, P.O.BOX 19395-3697, Tehran, Iran.

doi
10.22111/ijfs.2017.3045
چکیده

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.

کلیدواژه‌ها
Probabilistic normed groups, Invariant probabilistic metrics, Distributional-slowly varying functions, Midconvex functions