文章基本信息

标题：On <mml:math alttext="$n$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>n</mml:mi></mml:math>-normed spaces
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作者：Hendra Gunawan ; M. Mashadi
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.