Alireza Pourmoslemi
Department of Mathematics, Payame Noor University, Tehran, Iran
[ 1 ] - Mazur-Ulam theorem in probabilistic normed groups
In this paper, we give a probabilistic counterpart of Mazur-Ulam theorem in probabilistic normed groups. We show, under some conditions, that every surjective isometry between two probabilistic normed groups is a homomorphism.
[ 2 ] - Probabilistic Normed Groups
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.
نویسندگان همکار