Hyers-Ulam stability of a generalized Apollonius type quadratic mapping

被引：24

作者：

Park, Chun-Gil ^{[1
]}

Rassias, Themistocles M.

机构：

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

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 322卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

Hyers-Ulam stability; quadratic mapping of Apollonius type;

D O I：

10.1016/j.jmaa.2005.09.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X, Y be linear spaces. It is shown that if a mapping Q: X -> Y satisfies the following functional equation: [GRAPHICS] then the mapping Q: X -> Y is quadratic. We moreover prove the Hyers-Ulam stability of the functional equation (0.1) in Banach spaces. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：371 / 381

页数：11