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
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
  • [11] Hyers-Ulam-Rassias stability of Cauchy-Jensen functional equation in RN-spaces
    Kenary, H. Azadi
    Keshavarz, H.
    MATHEMATICAL SCIENCES, 2015, 9 (02) : 71 - 78
  • [12] Stability of Quartic Functional Equations in the Spaces of Generalized Functions
    Lee, Young-Su
    Chung, Soon-Yeong
    ADVANCES IN DIFFERENCE EQUATIONS, 2009,
  • [13] Stability of Quartic Functional Equations in the Spaces of Generalized Functions
    Young-Su Lee
    Soon-Yeong Chung
    Advances in Difference Equations, 2009
  • [14] Approximation of radical functional equations related to quadratic and quartic mappings
    Khodaei, H.
    Gordji, M. Eshaghi
    Kim, S. S.
    Cho, Y. J.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 395 (01) : 284 - 297
  • [15] THE EULER-JACOBI FORMULA AND THE PLANAR QUADRATIC-QUARTIC POLYNOMIAL DIFFERENTIAL SYSTEMS
    Llibre, Jaume
    Valls, Claudia
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 149 (01) : 135 - 141
  • [16] Inner product spaces and quadratic functional equations
    Jae-Hyeong Bae
    Batool Noori
    M. B. Moghimi
    Abbas Najati
    Advances in Difference Equations, 2021
  • [17] Inner Product Spaces and Quadratic Functional Equations
    Park, Choonkil
    Park, Won-Gil
    Rassias, Themistocles M.
    COMPUTATIONAL ANALYSIS, AMAT 2015, 2016, 155 : 137 - 151
  • [18] Inner product spaces and quadratic functional equations
    Bae, Jae-Hyeong
    Noori, Batool
    Moghimi, M. B.
    Najati, Abbas
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [19] CUBIC-QUARTIC FUNCTIONAL EQUATIONS IN FUZZY NORMED SPACES
    Ghobadipour, N.
    Park, Choonkil
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2010, 1 (01): : 12 - 21
  • [20] A generalized mixed type of quartic–cubic–quadratic–additive functional equations
    T. Z. Xu
    J. M. Rassias
    W. X. Xu
    Ukrainian Mathematical Journal, 2011, 63 : 461 - 479