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

页码：1153 / 1165

页数：13

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