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. https://doi.org/10.22075/ijnaa.2017.1281.1318
MLA
Pourmoslemi, A., & 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
Pourmoslemi, A. & 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
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