A fixed point approach to the stability of a general quartic functional equation

被引:10
|
作者
Lee, Yang-Hi [1 ]
Jung, Soon-Mo [2 ]
机构
[1] Gongju Natl Univ Educ, Dept Math Educ, Gongju 32553, South Korea
[2] Hongik Univ, Coll Sci & Technol, Math Sect, Sejong 30016, South Korea
来源
基金
新加坡国家研究基金会;
关键词
Fixed point method; fixed point; stability; generalized Hyers-Ulam stability; quartic functional equation; THEOREM;
D O I
10.22436/jmcs.020.03.03
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we study the generalized Hyers-Ulam stability of the quartic functional equation f(x + 3y) - 5f(x + 2y) + 10f(x + y) - 10f(x) + 5f(x - y) - f(x-2y) = 0, by applying the fixed point method.
引用
收藏
页码:207 / 215
页数:9
相关论文
共 50 条
  • [1] FUZZY STABILITY OF A CUBIC-QUARTIC FUNCTIONAL EQUATION: A FIXED POINT APPROACH
    Jang, Sun-Young
    Park, Choonkil
    Shin, Dong Yun
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2011, 48 (03) : 491 - 503
  • [2] A FIXED POINT APPROACH TO THE STABILITY OF AN ADDITIVE-CUBIC-QUARTIC FUNCTIONAL EQUATION
    Lee, Yang-hi
    JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2019, 26 (04): : 267 - 276
  • [3] THE STABILITY OF A QUARTIC TYPE FUNCTIONAL EQUATION WITH THE FIXED POINT ALTERNATIVE
    Gordji, M. Eshaghi
    Park, Choonkil
    Savadkouhi, M. B.
    FIXED POINT THEORY, 2010, 11 (02): : 265 - 272
  • [4] A Fixed Point Approach to the Stability of an Additive-Quadratic-Cubic-Quartic Functional Equation
    JungRye Lee
    Ji-hye Kim
    Choonkil Park
    Fixed Point Theory and Applications, 2010
  • [5] A Fixed Point Approach to the Stability of an Additive-Quadratic-Cubic-Quartic Functional Equation
    Lee, Jung Rye
    Kim, Ji-hye
    Park, Choonkil
    FIXED POINT THEORY AND APPLICATIONS, 2010,
  • [6] A Fixed Point Approach to the Stability of an Additive-Quadratic-Cubic-Quartic Type Functional Equation
    Lee, Yang-Hi
    Jung, Soon-Mo
    JOURNAL OF FUNCTION SPACES, 2016, 2016
  • [7] A Fixed Point Approach to the Stability of a Functional Equation
    Park, Won-Gil
    Bae, Jae-Hyeong
    KYUNGPOOK MATHEMATICAL JOURNAL, 2010, 50 (04): : 557 - 564
  • [8] Orthogonal stability of an additive-quartic functional equation with the fixed point alternative
    Sung Jin Lee
    Choonkil Park
    Reza Saadati
    Journal of Inequalities and Applications, 2012
  • [9] Orthogonal stability of an additive-quartic functional equation with the fixed point alternative
    Lee, Sung Jin
    Park, Choonkil
    Saadati, Reza
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012, : 1 - 10
  • [10] A fixed point approach to the stability of the cubic functional equation
    Jung, Soon-Mo
    Kim, Tae-Soo
    BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2006, 12 (01): : 51 - 57