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.
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页码：116 / 127
页数：12
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