Title of article :
Mazur-Ulam theorem in probabilistic normed groups
Author/Authors :
Pourmoslemi, Alireza Department of Mathematics - Payame Noor University, Tehran , Nourouzi, Kourosh Faculty of Mathematics - K.N. Toosi University of Technology, Tehran
Abstract :
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.
Keywords :
Probabilistic normed groups , Invariant probabilistic metrics , Mazur-Ulam Theorem
Journal title :
Astroparticle Physics
