期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2001
卷号：27
DOI：10.1155/S0161171201010675
出版社：Hindawi Publishing Corporation
摘要：Given an n-normed space with n≥2, we offer a simple way to derive an (n−1)-norm from the n-norm and realize that any n-normed space is an (n−1)-normed space. We also show that,
in certain cases, the (n−1)-norm can be derived from the
n-norm in such a way that the convergence and completeness in
the n-norm is equivalent to those in the derived (n−1)-norm. Using this fact, we prove a fixed point theorem for some
n-Banach spaces.
