Orthogonal Stability of an Additive-Quadratic Functional Equation

被引:0
|
作者
Choonkil Park
机构
[1] Hanyang University,Department of Mathematics, Research Institute for Natural Sciences
关键词
Hyers-Ulam stability; fixed point; orthogonally additive-quadratic functional equation; orthogonality space;
D O I
暂无
中图分类号
学科分类号
摘要
Using the fixed point method and using the direct method, we prove the Hyers-Ulam stability of an orthogonally additive-quadratic functional equation in orthogonality spaces.
引用
收藏
相关论文
共 50 条
  • [1] Orthogonal Stability of an Additive-Quadratic Functional Equation
    Park, Choonkil
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2011, : 1 - 11
  • [2] ORTHOGONAL STABILITY OF AN ADDITIVE-QUADRATIC FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN SPACES
    Lee, Jung Rye
    Park, Choonkil
    Alaca, Cihangir
    Shin, Dong Yun
    [J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2012, 14 (06) : 1014 - 1025
  • [3] On an alternative additive-quadratic functional equation
    Forti, Gian Luigi
    Wilkens, Bettina
    [J]. AEQUATIONES MATHEMATICAE, 2024,
  • [4] ULAM STABILITY OF AN ADDITIVE-QUADRATIC FUNCTIONAL EQUATION IN BANACH SPACES
    Hwang, Inho
    Park, Choonkil
    [J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2020, 14 (02): : 421 - 436
  • [5] Hyers-Ulam stability of an additive-quadratic functional equation
    Govindan, Vediyappan
    Park, Choonkil
    Pinelas, Sandra
    Rassias, Themistocles M.
    [J]. CUBO-A MATHEMATICAL JOURNAL, 2020, 22 (02): : 233 - 255
  • [6] Fixed points and fuzzy stability of an additive-quadratic functional equation
    Park, Choonkil
    Najati, Abbas
    Jang, Sun Young
    [J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2013, 15 (03) : 452 - 462
  • [7] FUZZY STABILITY OF AN ADDITIVE-QUADRATIC FUNCTIONAL EQUATION WITH THE FIXED POINT ALTERNATIVE
    Seo, Jeong Pil
    Lee, Sungjin
    Saadati, Reza
    [J]. JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2015, 22 (03): : 285 - 298
  • [8] Stability of mixed additive-quadratic Jensen type functional equation in various spaces
    Kenary, Hassan Azadi
    Cho, Yeol Je
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (09) : 2704 - 2724
  • [9] Fuzzy stability of an additive-quadratic functional equation in matrix fuzzy normed spaces
    Shokri, Javad
    Park, Choonkil
    [J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2017, 23 (03) : 424 - 432
  • [10] General Solution and Stability of Additive-Quadratic Functional Equation in IRN-Space
    Tamilvanan, K.
    Alessa, Nazek
    Loganathan, K.
    Balasubramanian, G.
    Namgyel, Ngawang
    [J]. JOURNAL OF FUNCTION SPACES, 2021, 2021