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
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