The Aleksandrov Problem in Non-Archimedean 2-Fuzzy 2-Normed Spaces ()
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.
Share and Cite:
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.
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