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.
Pourmoslemi, A., Nourouzi, K. (2017). Mazur-Ulam theorem in probabilistic normed groups. International Journal of Nonlinear Analysis and Applications, 8(2), 327-333. doi: 10.22075/ijnaa.2017.1281.1318
MLA
Alireza Pourmoslemi; Kourosh Nourouzi. "Mazur-Ulam theorem in probabilistic normed groups". International Journal of Nonlinear Analysis and Applications, 8, 2, 2017, 327-333. doi: 10.22075/ijnaa.2017.1281.1318
HARVARD
Pourmoslemi, A., Nourouzi, K. (2017). 'Mazur-Ulam theorem in probabilistic normed groups', International Journal of Nonlinear Analysis and Applications, 8(2), pp. 327-333. doi: 10.22075/ijnaa.2017.1281.1318
VANCOUVER
Pourmoslemi, A., Nourouzi, K. Mazur-Ulam theorem in probabilistic normed groups. International Journal of Nonlinear Analysis and Applications, 2017; 8(2): 327-333. doi: 10.22075/ijnaa.2017.1281.1318
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