Mazur-Ulam theorem in probabilistic normed groups

نویسندگان
Pourmoslemi, Alireza ID 1
Nourouzi, Kourosh ID 2

1 Department of Mathematics, Payame Noor University, Tehran, Iran

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

doi
10.22075/ijnaa.2017.1281.1318
چکیده

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.

کلیدواژه‌ها
Probabilistic normed groups, Invariant probabilistic metrics, Mazur-Ulam Theorem