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文章基本信息

  • 标题:Fuzzy Stability of Quadratic Functional Equations
  • 本地全文:下载
  • 作者:Jung Rye Lee ; Sun-Young Jang ; Choonkil Park
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2010
  • 卷号:2010
  • DOI:10.1155/2010/412160
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    The fuzzy stability problems for the Cauchy additive functional equation and the Jensen additive functional equation in fuzzy Banach spaces have been investigated by Moslehian et al. In this paper, we prove the generalized Hyers-Ulam stability of the following quadratic functional equations f(x+y)+f(x−y)=2f(x)+2f(y) and f(ax+by)+f(ax−by)=2a2f(x)+2b2f(y)  (a,b∈ℝ\{0},a≠±1) in fuzzy Banach spaces.

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