TITLE:
The Aleksandrov Problem in Non-Archimedean 2-Fuzzy 2-Normed Spaces
AUTHORS:
Meimei Song, Haixia Jin
KEYWORDS:
Non-Archimedean 2-Fuzzy 2-Normed Space, Isometry, Benz’s Theorem
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.7 No.8,
August
19,
2019
ABSTRACT: 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.