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
来源：
Acta Mathematica Scientia | 2015年 / 03期
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
  • [21] HYERS-ULAM STABILITY OF GENERAL JENSEN TYPE MAPPINGS
    Park, Choonkil
    Lu, Gang
    Zhang, Ruijun
    Shin, Dong Yun
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2014, 17 (04) : 667 - 673
  • [22] HYERS-ULAM STABILITY OF VOLTERRA INTEGRAL EQUATION
    Gachpazan, M.
    Baghani, O.
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2010, 1 (02): : 19 - 25
  • [23] Hyers-Ulam stability of Euler's equation
    Cimpean, Dalia Sabina
    Popa, Dorian
    APPLIED MATHEMATICS LETTERS, 2011, 24 (09) : 1539 - 1543
  • [24] Hyers-Ulam Stability of Wilson Functional Equation
    崔丽英
    李林松
    延边大学学报(自然科学版), 2009, (04) : 283 - 286
  • [25] ON THE HYERS-ULAM STABILITY OF PSI-ADDITIVE MAPPINGS
    ISAC, G
    RASSIAS, TM
    JOURNAL OF APPROXIMATION THEORY, 1993, 72 (02) : 131 - 137
  • [26] HYERS-ULAM STABILITY OF FIBONACCI FUNCTIONAL EQUATION
    Jung, S. -M.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2009, 35 (02) : 217 - 227
  • [27] Hyers-Ulam stability for a partial difference equation
    Konstantinidis, Konstantinos
    Papaschinopoulos, Garyfalos
    Schinas, Christos J.
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2021, (67) : 1 - 13
  • [28] Hyers-Ulam Stability of Nonlinear Integral Equation
    Gachpazan, Mortaza
    Baghani, Omid
    FIXED POINT THEORY AND APPLICATIONS, 2010,
  • [29] Hyers-Ulam Stability of Nonlinear Integral Equation
    Mortaza Gachpazan
    Omid Baghani
    Fixed Point Theory and Applications, 2010
  • [30] On the Hyers-Ulam stability of the linear differential equation
    Popa, Dorian
    Rasa, Ioan
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 381 (02) : 530 - 537
12345