• 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

  • Pages
    7
  • From page
    327
  • To page
    333
  • 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
  • Serial Year
    2017
  • Record number

    2442417

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2442417