Stability of group and ring homomorphisms

被引：0
|
作者：
Zhang, Denghua [1 ]
Cao, Huai-Xin
机构：
[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China
[2] Xiaogan Univ, Huai Xin Cao Dept Math, Xiaogan 432000, Peoples R China
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2006年 / 9卷 / 03期
关键词：
stability; group homomorphism; ring homomorphism;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we give generalization of Hyers' theorem on the stability of approximately additive mapping and a generalization of Badora's theorem on approximate ring homomorphism. We also obtain a more general stability theorem, which gives stability theorems on Jordan and Lie homomorphisms. The proofs of the theorems given in this paper follow essentially the D. H. Hyers - Th. M. Rassias approach to stability of functional equations connected with S. M. Ulam's problem.
引用
收藏
页码：521 / 528
页数：8
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