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文章基本信息

  • 标题:On n-normed spaces
  • 本地全文:下载
  • 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
  • 期号:10
  • 页码:631-639
  • 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.

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