Mazur-Ulam theorem in probabilistic normed groups
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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.
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Journal title
volume 8 issue 2
pages 327- 333
publication date 2017-12-01
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