Quadratic-Quartic Functional Equations in RN-Spaces

被引:0
|
作者
M. Eshaghi Gordji
M. Bavand Savadkouhi
Choonkil Park
机构
[1] Semnan University,Department of Mathematics
[2] Hanyang University,Department of Mathematics
来源
Journal of Inequalities and Applications | / 2009卷
关键词
Banach Space; Vector Space; General Solution; Abelian Group; Functional Equation;
D O I
暂无
中图分类号
学科分类号
摘要
We obtain the general solution and the stability result for the following functional equation in random normed spaces (in the sense of Sherstnev) under arbitrary [inline-graphic not available: see fulltext]-norms [inline-graphic not available: see fulltext].
引用
收藏
相关论文
共 50 条
  • [21] Stabilities and instabilities of an advanced quartic functional equation in various normed spaces
    Kumar, Beri V. Senthil
    Dutta, Hemen
    Sabarinathan, Sriramulu
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (14) : 11469 - 11481
  • [22] Functional inequalities associated with additive, quadratic and Drygas functional equations
    Najati, A.
    Yengejeh, Y. Khedmati
    ACTA MATHEMATICA HUNGARICA, 2022, 168 (02) : 572 - 586
  • [23] Functional inequalities associated with additive, quadratic and Drygas functional equations
    A. Najati
    Y. Khedmati Yengejeh
    Acta Mathematica Hungarica, 2022, 168 : 572 - 586
  • [24] Stability of Quadratic Functional Equations via the Fixed Point and Direct Method
    Son, Eunyoung
    Lee, Juri
    Kim, Hark-Mahn
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2010,
  • [25] Stability of Quadratic Functional Equations via the Fixed Point and Direct Method
    Eunyoung Son
    Juri Lee
    Hark-Mahn Kim
    Journal of Inequalities and Applications, 2010
  • [26] ADDITIVE-QUADRATIC ρ-FUNCTIONAL INEQUALITIES IN BANACH SPACES
    Yun, Sungsik
    Lee, Jung Rye
    Park, Choonkil
    Shin, Dong Yun
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2017, 23 (07) : 1203 - 1215
  • [27] Fixed Points and Quadratic ρ-Functional Inequalities in Banach Spaces
    Lu, Gang
    Kim, Gwang Hui
    Park, Choonkil
    THAI JOURNAL OF MATHEMATICS, 2020, 18 (04): : 1733 - 1742
  • [28] Functional equations and inequalities in paranormed spaces
    Park, Choonkil
    Lee, Jung Rye
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [29] Functional equations and inequalities in paranormed spaces
    Choonkil Park
    Jung Rye Lee
    Journal of Inequalities and Applications, 2013 (1)
  • [30] Stability of a Quadratic Functional Equation in the Spaces of Generalized Functions
    Young-Su Lee
    Journal of Inequalities and Applications, 2008