Asymptotic behavior of generalized quadratic mappings

被引：0
|
作者：
Kim, Hark-Mahn [1 ]
Chang, Ick-Soon [1 ]
机构：
[1] Chungnam Natl Univ, Dept Math, 99 Daehangno, Daejeon 34134, South Korea
来源：
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2021年 / 12卷 / 01期
关键词：
Stability; Parallel polyhedron equality; Generalized quadratic mappings; HYERS-ULAM STABILITY; FUNCTIONAL-EQUATIONS;
D O I：
10.22075/ijnaa.2021.4982
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show in this paper that a mapping f satisfies the following functional equation (sic)(x2,center dot center dot center dot ,xd)(+1) f(x(1)) = 2d Sigma(d +1)(i=1)f(x(i)), if and only if it is quadratic. In addition, we investigate generalized Hyers-Ulam stability problem for the equation, and thus obtain an asymptotic property of quadratic mappings as applications.
引用
收藏
页码：1153 / 1165
页数：13
相关论文
共 50 条
  • [41] Asymptotic behavior of generalized Cox processes
    Vestnik Moskovskogo Universiteta. Ser. 15 Vychislitel'naya Matematika i Kibernetika, 1996, (03): : 55 - 68
  • [42] Fixed points and generalized stability for quadratic and quartic mappings in C*-algebras
    Gordji, M. E.
    Khodaei, H.
    Rassias, Th. M.
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2015, 17 (04) : 703 - 715
  • [43] Asymptotic behavior of a generalized functional equation
    Tareeghee, Mohammad Amin
    Najati, Abbas
    Noori, Batool
    Park, Choonkil
    AIMS MATHEMATICS, 2022, 7 (04): : 7001 - 7011
  • [44] Asymptotic behavior of an SEIR epidemic model with quadratic treatment
    He Y.
    Gao S.
    Lv H.
    Liu Y.
    Gao, S. (gaosjmath@126.com), 1600, Springer Verlag (42): : 245 - 257
  • [45] Approximate Behavior of Bi-Quadratic Mappings in Quasinormed Spaces
    Park, Won-Gil
    Bae, Jae-Hyeong
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2010,
  • [46] Approximate Behavior of Bi-Quadratic Mappings in Quasinormed Spaces
    Won-Gil Park
    Jae-Hyeong Bae
    Journal of Inequalities and Applications, 2010
  • [47] The asymptotic behavior of quadratic forms in φ-mixing random variables
    Lin, Fuming
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 233 (02) : 437 - 448
  • [48] Demiclosedness principle and asymptotic behavior for nonexpansive mappings in metric spaces
    Li, G
    Kim, JK
    APPLIED MATHEMATICS LETTERS, 2001, 14 (05) : 645 - 649
  • [49] Asymptotic behavior of averaged and firmly nonexpansive mappings in geodesic spaces
    Nicolae, Adriana
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2013, 87 : 102 - 115
  • [50] ASYMPTOTIC BEHAVIOR OF NONEXPANSIVE MAPPINGS IN FINITE DIMENSIONAL NORMED SPACES
    Lins, Brian
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2009, 137 (07) : 2387 - 2392
12345