STABILITY OF THE JENSEN TYPE FUNCTIONAL EQUATION IN BANACH ALGEBRAS: A FIXED POINT APPROACH

被引：0

作者：

Park, Choonkil ^{[1
]}

Park, Won-Gil ^{[2
]}

Lee, Jung Rye ^{[3
]}

Rassias, Themistocles M. ^{[4
]}

机构：

[1] Hanyang Univ, Dept Math, Seoul 133791, South Korea

[2] Mokwon Univ, Dept Math Educ, Daejeon 302729, South Korea

[3] Daejin Univ, Dept Math, Kyeonggi 487711, South Korea

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

来源：

KOREAN JOURNAL OF MATHEMATICS | 2011年 / 19卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

Jensen type functional equation; fixed point; homomorphism in Banach algebra; generalized Hyers-Ulam stability; derivation on Banach algebra;

D O I：

10.11568/kjm.2011.19.2.149

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using fixed point methods, we prove the generalized Hyers-Ulam stability of homomorphisms in Banach algebras and of derivations on Banach algebras for the following Jensen type functional equation: f(x + y/2) + f (x - y/2) = f(x).

引用

页码：149 / 161

页数：13

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