probabilistic normed groups

نویسندگان

kourosh nourouzi

faculty of mathematics, k.n.toosi university of technology, p.o.box 16315-1618, tehran, iran. alireza pourmoslemi

department of mathematics, payame noor university, p.o.box 19395-3697, tehran, iran.

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.

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عنوان ژورنال:
iranian journal of fuzzy systems

جلد ۱۴، شماره ۱، صفحات ۹۹-۱۱۳

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