Generalized Hyers-Ulam stability for general additive functional equations in quasi-β-normed spaces

被引：55
|
作者：
Rassias, John Michael [2 ]
Kim, Hark-Mahn [1 ]
机构：
[1] Chungnam Natl Univ, Dept Math, Taejon 305764, South Korea
[2] Natl & Capodistrian Univ Athens, Sect Math & Informat, Pedagog Dept EE, Athens 15342, Greece
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 356卷 / 01期
关键词：
Generalized Hyers-Ulam stability; Quasi-beta-normed spaces; (beta; p)-Banach spaces; Contractively subadditive; Expansively superadditive; JENSEN TYPE MAPPINGS; RASSIAS STABILITY;
D O I：
10.1016/j.jmaa.2009.03.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In 1940 S.M. Ulam proposed the famous Ulam stability problem. In 1941 D.H. Hyers solved the well-known Ulam stability problem-for additive mappings subject to the Hyers condition on approximately additive mappings. The first author of this paper investigated the Hyers-Ulam stability of Cauchy and Jensen type additive mappings. In this paper we generalize results obtained for Jensen type mappings and establish new theorems about the Hyers-Ulam stability for general additive functional equations ill quasi-beta-normed spaces. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：302 / 309
页数：8
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