The Aleksandrov Problem in quasi convex 2-normed linear spaces
Abstract
In this paper, we prove that the Aleksandrov problem holds without the condition "2-Lipschitz mapping" in quasi convex 2-normed linear spaces. Moreover, we show that the Mazur-Ulam theorem holds in quasi convex 2-normed linear spaces.
Copyright © 2016 Xinkun Wang, Meimei Song. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
X. Wang, M. Song, The Aleksandrov Problem in quasi convex 2-normed linear spaces, J. Math. Comput. Sci. 6 (2016), 337–346.
BibTeX
@article{Wang2016,
author = {Wang, Xinkun and Song, Meimei},
title = {The Aleksandrov Problem in quasi convex 2-normed linear spaces},
journal = {J. Math. Comput. Sci.},
volume = {6},
year = {2016},
pages = {337--346},
doi = {}
}