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  • 标题:Stability and superstability of ternary homomorphisms and ternary derivations on ternary quasi-Banach algebras
  • 本地全文:下载
  • 作者:Mostafa Osbouei ; Madjid Eshaghi Gordji ; Ali Ebadian
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2012
  • 卷号:2012
  • 期号:1
  • 页码:80
  • DOI:10.1186/1687-1847-2012-80
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this article, we investigate the generalized Hyers-Ulam-Rassias stability, Isac-Rassias type stability and superstability of ternary homomorphisms and ternary derivations associated to the generalized m- variables Cauchy-Jensen functional equation ∑ i = 1 m f ( x i ) - 1 2 m ∑ i = 1 m f m x i + ∑ j = 1 , j ≠ i m x j + f ∑ i = 1 m x i = 0 for a fixed positive integer m with m ≥ 3 on ternary quasi-Banach algebras. 2010 Mathematics Subject Classification: 39B82; 39B52.
  • 关键词:superstability ; Hyers-Ulam-Rassias stability ; Isac-Rassias-type stability ; ternary algebra ; homomorphism ; derivation ; quasi-Banach space
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