Set-Valued Quadratic Functional Equations

被引：0
|
作者：
Jung Rye Lee
Choonkil Park
Dong Yun Shin
Sungsik Yun
机构：
[1] Daejin University,Department of Mathematics
[2] Hanyang University,Department of Mathematics Research Institute for Natural Sciences
[3] University of Seoul,Department of Mathematics
[4] Hanshin University,Department of Financial Mathematics
来源：
Results in Mathematics | 2017年 / 72卷
关键词：
Hyers–Ulam stability; set-valued quadratic functional equation; fixed point; 47H10; 54C60; 39B52; 47H04; 91B44;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we introduce set-valued quadratic functional equations and prove the Hyers–Ulam stability of the set-valued quadratic functional equations by using the fixed point method.
引用
收藏
页码：665 / 677
页数：12
相关论文
共 50 条
  • [1] Set-Valued Quadratic Functional Equations
    Lee, Jung Rye
    Park, Choonkil
    Shin, Dong Yun
    Yun, Sungsik
    [J]. RESULTS IN MATHEMATICS, 2017, 72 (1-2) : 665 - 677
  • [2] QUADRATIC APPROXIMATION OF SOLUTIONS FOR SET-VALUED FUNCTIONAL DIFFERENTIAL EQUATIONS
    Wang, Peiguang
    Wang, Yameng
    [J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2021, 11 (01): : 532 - 545
  • [3] On the Stability of Additive, Quadratic, Cubic and Quartic Set-valued Functional Equations
    Khodaei, Hamid
    [J]. RESULTS IN MATHEMATICS, 2015, 68 (1-2) : 1 - 10
  • [4] On the Stability of Additive, Quadratic, Cubic and Quartic Set-valued Functional Equations
    Hamid Khodaei
    [J]. Results in Mathematics, 2015, 68 : 1 - 10
  • [5] On set-valued multiadditive functional equations
    Keyhani, Eqbal
    Hassani, Mahmoud
    Bodaghi, Abasalt
    [J]. FILOMAT, 2024, 38 (05) : 1847 - 1857
  • [6] Set-Valued Solutions of a Generalized Quadratic Functional Equation
    Alina Ramona Baias
    Bianca Moşneguţu
    Dorian Popa
    [J]. Results in Mathematics, 2018, 73
  • [7] Set-Valued Solutions of a Generalized Quadratic Functional Equation
    Baias, Alina Ramona
    Mosnegutu, Bianca
    Popa, Dorian
    [J]. RESULTS IN MATHEMATICS, 2018, 73 (04)
  • [8] On the Ulam stability of a quadratic set-valued functional equation
    Wang, Faxing
    Shen, Yonghong
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2014, 7 (05): : 359 - 367
  • [9] ON THE STABILITY OF THE GENERALIZED QUADRATIC SET-VALUED FUNCTIONAL EQUATION
    Chu, Hahng-Yun
    Yoo, Seung Ki
    [J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 20 (06) : 1007 - 1020
  • [10] Stability of some set-valued functional equations
    Park, Choonkil
    O'Regan, Donal
    Saadati, Reza
    [J]. APPLIED MATHEMATICS LETTERS, 2011, 24 (11) : 1910 - 1914
12345