On approximate ternary m-derivations and σ-homomorphisms

被引：6
|
作者：
Ghazanfari, A. G. [1 ]
Alizadeh, Z. [1 ]
机构：
[1] Lorestan Univ, Dept Math, Khorramabad, Iran
来源：
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2015年 / 17卷 / 04期
关键词：
Ternary algebras; stability; approximation; derivations; homomorphisms; FUNCTIONAL-EQUATION; RASSIAS STABILITY; LINEAR MAPPINGS;
D O I：
10.1007/s11784-015-0250-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce ternary modules over ternary algebras and, using fixed point methods, we prove the stability and superstability of ternary additive, quadratic, cubic and quartic derivations and sigma-homomorphisms in such structures for the functional equation f(ax + y) + f(ax - y) = a m(-2) [f(x + y) + f(x - y)] + 2 (a(2) - 1)[a(m-2) f(x) + (m - 2)(1 - ( m - 2)(2))/6 f(y)] for each m = 1, 2, 3, 4.
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页码：625 / 640
页数：16
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