alpha-2-norm; 2-fuzzy 2-normed linear spaces; 2-isometry; Mazur-Ulam theorem
Issue Date
2013-02
Publisher
Springer
Citation
Journal of Inequalities and Applications, Feb 2013, 1, P.9
Abstract
The purpose of this paper is to prove that every 2-isometry without any other conditions from a fuzzy 2-normed linear space to another fuzzy 2-normed linear space is affine, and to give a new result of the Mazur-Ulam theorem for 2-isometry in the framework of 2-fuzzy 2-normed linear spaces.