CHARACTERIZATION ON 2-ISOMETRIES IN NON-ARCHIMEDEAN 2-NORMED SPACES

Abstract

Let f be an 2-isometry on a non-Archimedean 2-normed space. In this paper, we prove that the barycenter of triangle is invariant for f up to the translation by f (0), in this case, needless to say, we can imply naturally the Mazur-Ulam theorem in nonArchimedean 2-normed spaces.

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