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山东大学学报(理学版) ›› 2016, Vol. 51 ›› Issue (4): 1-8.doi: 10.6040/j.issn.1671-9352.0.2015.263

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混合AQC函数方程在FFNLS上的HUR稳定性

薛文萍,纪培胜*   

  1. 青岛大学数学科学学院, 山东 青岛 266071
  • 收稿日期:2015-06-01 出版日期:2016-04-20 发布日期:2016-04-08
  • 通讯作者: 纪培胜(1967— ),男,博士,教授,研究方向为算子代数及其应用. E-mail:jipeish@yahoo.com E-mail:1107597917@qq.com
  • 作者简介:薛文萍(1990— ),女,硕士研究生,研究方向为函数方程的稳定性. E-mail:1107597917@qq.com

On the HUR stability of a mixed functional equation deriving from AQC mappings in FFNLS

XUE Wen-ping, JI Pei-sheng*   

  1. School of Mathematics, Qingdao University, Qingdao 266071, Shandong, China
  • Received:2015-06-01 Online:2016-04-20 Published:2016-04-08

摘要: 用不动点方法研究了混合可加-二次-三次(AQC)函数方程f(2x+y)+f(2x-y)=2f(2x)+2f(x+y)+2f(x-y)-4f(x)-f(y)-f(-y)在FFNLS上的HUR稳定性。

关键词: FFNLS, HUR稳定性, 混合AQC函数方程

Abstract: The HUR stability of a mixed functional equation deriving from additive, quadratic and cubic mappingsf(2x+y)+f(2x-y)=2f(2x)+2f(x+y)+2f(x-y)-4f(x)-f(y)-f(-y)in Felbins type fuzzy normed linear spaces is proved using fixed point method.

Key words: Felbins type fuzzy normed linear space, the HUR stability, mixed function equation deriving from additive, quadratic and cubic mappings

中图分类号: 

  • O177.5
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