Mazur-Ulam theorem in probabilistic normed groups
عنوان مقاله: Mazur-Ulam theorem in probabilistic normed groups
شناسه ملی مقاله: JR_IJNAA-8-2_027
منتشر شده در در سال 1396
شناسه ملی مقاله: JR_IJNAA-8-2_027
منتشر شده در در سال 1396
مشخصات نویسندگان مقاله:
- - - Department of Mathematics, Payame Noor University, Tehran, Iran
- - - Faculty of Mathematics, K.N. Toosi University of Technology, P.O. Box ۱۶۳۱۵-۱۶۱۸, Tehran, Iran
خلاصه مقاله:
- - - Department of Mathematics, Payame Noor University, Tehran, Iran
- - - Faculty of Mathematics, K.N. Toosi University of Technology, P.O. Box ۱۶۳۱۵-۱۶۱۸, Tehran, Iran
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.
کلمات کلیدی: Probabilistic normed groups, Invariant probabilistic metrics, Mazur-Ulam Theorem
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1561868/