The Aleksandrov-Rassias problem on quasi convex n-normed linear spaces
Abstract
We proved that the Aleksandrov-Rassias problem holds repalced the condition $ \parallel x_{1}-y_{1},\ldots, x_{n}-y_{n} \parallel \geq1$ if and only if $\parallel f(x_{1})-f(y_{1}), f(x_{2})-f(y_{2}), \cdots, f(x_{n})-f(y_{n})\parallel \geq1 $ " in [7] by ``$\parallel f(x_{1})-f(y_{1}), f(x_{2})-f(y_{2}), \cdots, f(x_{n})-f(y_{n})\parallel \leq \parallel x_{1}-y_{1},\ldots, x_{n}-y_{n} \parallel $ while $ \parallel x_{1}-y_{1},\ldots, x_{n}-y_{n} \parallel\leq1$" on Quasi Convex n-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-Rassias problem on quasi convex n-normed linear spaces, J. Math. Comput. Sci. 6 (2016), 1074–1084.
BibTeX
@article{Wang2016,
author = {Wang, Xinkun and Song, Meimei},
title = {The Aleksandrov-Rassias problem on quasi convex n-normed linear spaces},
journal = {J. Math. Comput. Sci.},
volume = {6},
year = {2016},
pages = {1074--1084},
doi = {}
}