SUPERSTABILITY OF THE GENERALIZED PEXIDER TYPE EXPONENTIAL EQUATION IN ABELIAN GROUP

被引：0
|
作者：
Kim, Gwang Hui [1 ]
机构：
[1] Kangnam Univ, Dept Math, Yongin 446702, Gyeonggi, South Korea
来源：
KOREAN JOURNAL OF MATHEMATICS | 2012年 / 20卷 / 02期
关键词：
Hyers-Ulam stability; superstability; exponential functional equation; C*-algebra; generalized Pexider exponential equation;
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 will prove the superstability of the following generalized Pexider type exponential equation f(x + y)(m) = g(x)h(y), where f, g, h : G -> R are unknown mappings and m is a fixed positive integer. Here G is an Abelian group (G, +), and R the set of real numbers. Also we will extend the obtained results to the Banach algebra. The obtained results are generalizations of P. Gavruta's result in 1994 and G. H. Kim's results in 2011.
引用
收藏
页码：213 / 223
页数：11
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