Approximate n-Lie Homomorphisms and Jordan n-Lie Homomorphisms on n-Lie Algebras

被引：0
|
作者：
Gordji, M. Eshaghi [1 ,2 ]
Kim, G. H. [1 ,2 ]
机构：
[1] Semnan Univ, Dept Math, Semnan, Iran
[2] Kangnam Univ, Dept Math, Yongin 446702, Gyeonggi, South Korea
来源：
ABSTRACT AND APPLIED ANALYSIS | 2012年
关键词：
GAVRUTA-RASSIAS STABILITY; FUNCTIONAL-EQUATIONS; LINEAR MAPPINGS; ULAM;
D O I：
10.1155/2012/279632
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Using fixed point methods, we establish the stability of n-Lie homomorphisms and Jordan n-Lie homomorphisms on n-Lie algebras associated to the following generalized Jensen functional equation mu f(Sigma(n)(i=1) x(i)/n) + mu Sigma(n)(j=2) f(Sigma(n)(i=1,i not equal j) x(i) - (n -1)x(j)/n) = f(mu x(1))(n >= 2).
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页数：11
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