Stability and superstability of ternary homomorphisms and ternary derivations on ternary quasi-Banach algebras

被引：0
|
作者：
Osbouei, Mostafa [1 ]
Gordji, Madjid Eshaghi [2 ]
Ebadian, Ali [3 ]
Asgari, Gholamreza [4 ]
Kenary, Hassan Azadi [5 ]
机构：
[1] Islamic Azad Univ, Saravan Branch, Dept Math, Saravan, Iran
[2] Semnan Univ, Dept Math, Semnan, Iran
[3] Payame Noor Univ, Dept Math, Tehran, Iran
[4] Islamic Azad Univ, Aligoudarz Branch, Dept Math, Aligoudarz, Iran
[5] Univ Yasuj, Dept Math, Yasuj 75914353, Iran
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2012年
关键词：
superstability; Hyers-Ulam-Rassias stability; Isac-Rassias-type stability; ternary algebra; homomorphism; derivation; quasi-Banach space; ULAM-RASSIAS STABILITY; EQUATION;
D O I：
10.1186/1687-1847-2012-80
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we investigate the generalized Hyers-Ulam-Rassias stability, Isac-Rassias type stability and superstability of ternary homomorphisms and ternary derivations associated to the generalized m-variables Cauchy-Jensen functional equation (m)Sigma(i=1) f(x(i)) - 1/2m [(m)Sigma(i=1) f (mx(i) + (m)Sigma(j=1,#i) x(j)) + f ((m)Sigma(i-1) x(i))] = 0 for a fixed positive integer m with m >= 3 on ternary quasi-Banach algebras.
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页数：11
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