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.
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页码：371 / 381
页数：11
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