Author(s)

Meimei Song, Haixia Jin^*

Science of College, Tianjin University of Technology, Tianjin, China.

We introduce the definition of non-Archimedean 2-fuzzy 2-normed spaces and the concept of isometry which is appropriate to represent the notion of area preserving mapping in the spaces above. And then we can get isometry when a mapping satisfies AOPP and (*) (in article) by applying the Benz’s theorem about the Aleksandrov problem in non-Archimedean 2-fuzzy 2-normed spaces.

Non-Archimedean 2-Fuzzy 2-Normed Space, Isometry, Benz’s Theorem

Song, M. and Jin, H. (2019) The Aleksandrov Problem in Non-Archimedean 2-Fuzzy 2-Normed Spaces. Journal of Applied Mathematics and Physics, 7, 1775-1785. doi: 10.4236/jamp.2019.78121.