ON THE HYERS-ULAM STABILITY OF AN EQUATION CHARACTERIZING MULTI-QUADRATIC MAPPINGS

被引:0
|
作者
Krzysztof CIEPLINSKI [1 ]
Angelika SUROWCZYK [1 ]
机构
[1] Faculty of Applied Mathematics,AGH University of Science and Technology
关键词
Multi-quadratic mapping; (generalized) Hyers-Ulam stability; the Jordana-von Neumann functional equation; direct method;
D O I
暂无
中图分类号
O177.2 [巴拿赫空间及其线性算子理论];
学科分类号
070104 ;
摘要
In this article,we prove,both in complete non-Archimedean normed spaces and in 2-Banach spaces,the generalized Hyers-Ulam stability of an equation characterizing multiquadratic mappings.Our results generalize some known outcomes.
引用
收藏
页码:690 / 702
页数:13
相关论文
共 50 条
  • [41] Generalized Hyers-Ulam Stability of the Additive Functional Equation
    Lee, Yang-Hi
    Kim, Gwang Hui
    AXIOMS, 2019, 8 (02)
  • [42] GENERALIZED HYERS-ULAM STABILITY OF RICCATI DIFFERENTIAL EQUATION
    Jung, Soon-Mo
    Rassias, Themistocles M.
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2008, 11 (04): : 777 - 782
  • [43] Fuzzy Hyers-Ulam stability of an additive functional equation
    Hassan Azadi Kenary
    Hamid Rezaei
    Anoshiravan Ghaffaripour
    Saedeh Talebzadeh
    Choonkil Park
    Jung Rye Lee
    Journal of Inequalities and Applications, 2011
  • [44] Hyers-Ulam stability of a certain Fredholm integral equation
    Simoes, Alberto
    Selvan, Ponmana
    TURKISH JOURNAL OF MATHEMATICS, 2021, : 87 - 98
  • [45] Generalized Hyers-Ulam Stability of the Pexider Functional Equation
    Lee, Yang-Hi
    Kim, Gwang-Hui
    MATHEMATICS, 2019, 7 (03):
  • [46] Hyers-Ulam stability of elliptic Mobius difference equation
    Nam, Young Woo
    COGENT MATHEMATICS & STATISTICS, 2018, 5 (01):
  • [47] Generalized Stability of Multi-Quadratic Mappings
    Peisheng JI
    Weiqing QI
    Xiaojing ZHAN
    Journal of Mathematical Research with Applications, 2014, 34 (02) : 209 - 215
  • [48] On Hyers-Ulam stability of Wilson's functional equation
    Badora R.
    aequationes mathematicae, 2000, 60 (3) : 211 - 218
  • [49] Hyers-Ulam Stability of Hyperbolic Mobius Difference Equation
    Nam, Young Woo
    FILOMAT, 2018, 32 (13) : 4555 - 4575
  • [50] Hyers-Ulam stability of the Drygas type functional equation
    Sayyari, Yamin
    Dehghanian, Mehdi
    Mohammadhasani, Ahmad
    Nassiri, Mohammad Javad
    JOURNAL OF ANALYSIS, 2024, : 225 - 233