数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (4): 1553-1560.doi: 10.1016/S0252-9602(11)60341-X

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A FIXED POINT APPROACH TO THE STABILITY OF A GENERALIZED APOLLONIUS TYPE QUADRATIC FUNCTIONAL EQUATION

王志华   

  1. Department of Mathematics, Sichuan University, Chengdu 610064, China
    School of Science, Hubei University of Technology, Wuhan 430068, China
  • 收稿日期:2008-12-10 出版日期:2011-07-20 发布日期:2011-07-20

A FIXED POINT APPROACH TO THE STABILITY OF A GENERALIZED APOLLONIUS TYPE QUADRATIC FUNCTIONAL EQUATION

 WANG Zhi-Hua   

  1. Department of Mathematics, Sichuan University, Chengdu 610064, China
    School of Science, Hubei University of Technology, Wuhan 430068, China
  • Received:2008-12-10 Online:2011-07-20 Published:2011-07-20

摘要:

Using the fixed point method, this article proves the Hyers-Ulam-Rassias sta-bility of a generalized Apollonius type quadratic functional equation in Banach spaces. The conditions of these results are demonstrated by the quadratic functional equation of Apollonius type.

关键词: fixed point, fixed point method, Hyers-Ulam-Rassias stability, quadratic mapping of Apollonius type

Abstract:

Using the fixed point method, this article proves the Hyers-Ulam-Rassias sta-bility of a generalized Apollonius type quadratic functional equation in Banach spaces. The conditions of these results are demonstrated by the quadratic functional equation of Apollonius type.

Key words: fixed point, fixed point method, Hyers-Ulam-Rassias stability, quadratic mapping of Apollonius type

中图分类号: 

  • 39B52