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

页码：1103 / 1111

页数：9

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