On the stability of a mixed n-dimensional quadratic functional equation

被引：1

作者：

Chu, Hahng-Yun ^{[2
]}

Kang, Dong Seung ^{[1
]}

Rassias, Themistocles M. ^{[3
]}

机构：

[1] Dankook Univ, Dept Math Educ, Gyeonggi 448701, South Korea

[2] Korea Inst Adv Study, Sch Math, Seoul 130722, South Korea

[3] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2008年 / 15卷 / 01期

关键词：

Hyers-Ulain-Rassias stability; quadratic mapping;

D O I：

10.36045/bbms/1203692443

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the modified Hyers-Ulam stability of a mixed n-dimensional quadratic functional equation in Banach spaces and also Banach modules over a Banach algebra and a C*-algebra. Finally, we study the stability using the alternative fixed point of the functional equation in Banach spaces: (n-2)C(m-2)f(Sigma(n)(j=1)x(j)) + C-n-2(m-1) Sigma(n)(i=1) f(x(i)) = Sigma(1 <= iI<...<im <= n) f(x(iI) + ... + x(im)), for all x(j) (j = 1, ..., n) where n >= 3 is an integer number and 2 <= Ta <= n - 1.

引用

页码：9 / 24

页数：16

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