ON THE STABILITY OF A GENERALIZED CUBIC FUNCTIONAL EQUATION

被引：5
|
作者：
Koh, Heejeong [1 ]
Kang, Dongseung [1 ]
机构：
[1] Dankook Univ, Coll Educ, Dept Math Educ, Gyeongi 448701, South Korea
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2008年 / 45卷 / 04期
关键词：
Hyers-Ulam-Rassias stability; cubic mapping;
D O I：
10.4134/BKMS.2008.45.4.739
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we obtain the general solution of a generalized cubic functional equation, the Hyers-Ulam-Rassias stability, and the stability by using the alternative fixed point for a generalized cubic functional equation 4f(Sigma(n)(j = 1) (-) (1)x(j) + mx(n)) + 4f(Sigma(n)(j = 1) (-) (1)x(j) + mx(n)) + m(2)Sigma(n)(j = 1) (-) (1)f(2x(j)) = 8f(Sigma(n)(j = 1) (-) (1)x(j)) + 4m(2)Sigma(n)(j = 1) (-) (1)(f(x(j) + x(n)) + f(x(j) - x(n))) for a positive integer m >= 1.
引用
收藏
页码：739 / 748
页数：10
相关论文
共 50 条
  • [21] Hyers-Ulam-Rassias stability of a cubic functional equation
    Najati, Abbas
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2007, 44 (04) : 825 - 840
  • [22] On the stability of a radical cubic functional equation in quasi--spaces
    Alizadeh, Z.
    Ghazanfari, A. G.
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2016, 18 (04) : 843 - 853
  • [23] Stability for quadratic functional equation in the spaces of generalized functions
    Lee, Young-Su
    Chung, Soon-Yeong
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 336 (01) : 101 - 110
  • [24] On the fuzzy stability problem of generalized cubic mappings
    Koh, Heejeong
    Kang, Dongseung
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2017, 32 (03) : 2477 - 2484
  • [25] On the Stability of Orthogonally Cubic Functional Equations
    Baak, Choonkil
    Moslehian, Mohammad Sal
    KYUNGPOOK MATHEMATICAL JOURNAL, 2007, 47 (01): : 69 - 76
  • [26] On the stability of a cubic functional equation in random 2-normed spaces
    Abdullah Alotaibi
    Syed Abdul Mohiuddine
    Advances in Difference Equations, 2012
  • [27] Fuzzy stability of a cubic functional equation via fixed point technique
    Syed Abdul Mohiuddine
    Abdullah Alotaibi
    Advances in Difference Equations, 2012
  • [28] On the Hyers-Ulam-Rassias stability of a general cubic functional equation
    Jun, KW
    Kim, HM
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2003, 6 (02): : 289 - 302
  • [29] Fuzzy stability of a cubic functional equation via fixed point technique
    Mohiuddine, Syed Abdul
    Alotaibi, Abdullah
    ADVANCES IN DIFFERENCE EQUATIONS, 2012,
  • [30] On the stability of a cubic functional equation in random 2-normed spaces
    Alotaibi, Abdullah
    Mohiuddine, Syed Abdul
    ADVANCES IN DIFFERENCE EQUATIONS, 2012, : 1 - 10
12345