Approximate homomorphisms and derivations on non-Archimedean Lie JC*-algebras

被引：0
|
作者：
Shokri, Javad [1 ]
Shin, Dong Yun [2 ]
机构：
[1] Urmia Univ, Dept Math, POB 165, Orumiyeh, Iran
[2] Univ Seoul, Dept Math, Seoul 02504, South Korea
来源：
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2017年 / 23卷 / 02期
关键词：
Hyers-Ulam stability; additive functional equation; fixed point; non-Archimedean space; homomorphisms in a non-Archimedean Lie JC*-algebras; derivations in a non-Archimedean Lie JC*-algebras; STABILITY; SPACE;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, by using the fixed point method, we prove the Hyers-Ulam stability of homomorphisms in non-Archimedean Lie JC*-algebras and derivations on non-Archimedean Lie JC*-algebras associated with the following additive mapping: Sigma(n)(k=2) (Sigma(i1 = 2) (k) Sigma(i2 = i1+1) (k+1) . . . Sigma(in-k+1 = in-k+1) (n))f (Sigma(i=1, i not equal i1,...,in-k+1) x(i) - Sigma (r=1) (n-k+1) x(ir)) + f (Sigma(i=1) (n) x(i)) = 2(n-1) f(x(1)) for a fixed positive integer n with n >= 2.
引用
收藏
页码：306 / 313
页数：8
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