Mazur-Ulam theorem in probabilistic normed groups
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زبان مدرک
Englishچکیده
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.
کلید واژگان
Probabilistic normed groupsInvariant probabilistic metrics
Mazur-Ulam Theorem
شماره نشریه
2تاریخ نشر
2017-12-011396-09-10
ناشر
Semnan Universityسازمان پدید آورنده
Department of Mathematics, Payame Noor University, Tehran, IranFaculty of Mathematics, K.N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran
