Generalized quadratic mappings of r-type in several variables

被引：9

作者：

Baak, C ^{[1
]}

Hong, SK ^{[1
]}

Kim, MJ ^{[1
]}

机构：

[1] Chungnam Natl Univ, Dept Math, Taejon 305764, South Korea

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 310卷 / 01期

关键词：

quadratic mapping; functional equation; stability;

D O I：

10.1016/j.jmaa.2005.01.056

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X, Y be vector spaces. It is shown that if an even mapping f : X -> Y satisfies f (0) = 0, and Graphics Graphics for all x1, x(d) is an element of X, then the even mapping f : X -> Y is quadratic. Furthermore, we prove the Cauchy-Rassias stability of the functional equation (*) in Banach spaces. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：116 / 127

页数：12

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