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