FIXED POINTS AND STABILITY OF ADDITIVE FUNCTIONAL EQUATIONS ON THE BANACH ALGEBRAS

被引：0
|
作者：
Cho, Yeol Je [2 ]
Kang, Jung Im [1 ]
Saadati, Reza [3 ]
机构：
[1] KT Daeduk 2 Res Ctr, Natl Inst Math Sci, Taejon 305811, South Korea
[2] Gyeongsang Natl Univ, Dept Math Educ & RINS, Chinju 660701, South Korea
[3] Islamic Azad Univ, Dept Math, Sci & Res Branch, Tehran, Iran
来源：
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2012年 / 14卷 / 06期
关键词：
Additive functional equation; fixed point; homomorphism in Banach algebra; generalized Hyers-Ulam stability; derivation on Banach algebra; APPROXIMATELY LINEAR MAPPINGS; SPACES; ULAM;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
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 additive functional equation (m)Sigma(i=1) f(mx(i) + (m)Sigma(j=1, j not equal i) x(j)) + f((m)Sigma(i=1) x(i)) = 2f((m)Sigma(i=1) mx(i)) for all m is an element of N with m >= 2.
引用
收藏
页码：1103 / 1111
页数：9
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