|
|
|
|
Mazur-Ulam theorem in probabilistic normed groups
|
|
|
|
|
|
|
|
نویسنده
|
pourmoslemi alireza ,nourouzi kourosh
|
|
منبع
|
international journal of nonlinear analysis and applications - 2017 - دوره : 8 - شماره : 2 - صفحه:327 -333
|
|
چکیده
|
In this paper, we give a probabilistic counterpart of mazur-ulam theorem in probabilistic normedgroups. we show, under some conditions, that every surjective isometry between two probabilistic normed groups is a homomorphism.
|
|
کلیدواژه
|
Probabilistic normed groups; Invariant probabilistic metrics; Mazur-Ulam Theorem
|
|
آدرس
|
payame noor university, department of mathematics, Iran, k.n. toosi university of technology, faculty of mathematics, Iran
|
|
پست الکترونیکی
|
nourouzi@kntu.ac.ir
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|