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  • 标题:Stability of functional equation obtained through a fixed-point alternative in intuitionistic fuzzy normed spaces
  • 本地全文:下载
  • 作者:SA Mohiuddine ; Mohammed A Alghamdi
  • 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:141
  • DOI:10.1186/1687-1847-2012-141
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we determine the stability of a generalized Hyers-Ulam-Rassias-type theorem concerning the additive functional equation 2 f ( x + y + z 2 ) = f ( x ) + f ( y ) + f ( z ) in the framework of intuitionistic fuzzy normed spaces through the fixed-point alternative. Further, we prove some stability results of an additive functional equation in this setup through the direct method. MSC:39B52, 39B82, 46S40.
  • 关键词:t -norm ; t -conorm ; additive functional equation ; intuitionistic fuzzy normed space ; fixed point
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