Stability and superstability of generalized quadratic ternary derivations on non-Archimedean ternary Banach algebras: a fixed point approach

被引：3

作者：

Park, Choonkil ^{[1
]}

Gordji, Madjid Eshaghi ^{[2
]}

Cho, Yeol Je ^{[3
,4
]}

机构：

[1] Hanyang Univ, Res Inst Nat Sci, Dept Math, Seoul 133791, South Korea

[2] Semnan Univ, Dept Math, Semnan, Iran

[3] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea

[4] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea

来源：

FIXED POINT THEORY AND APPLICATIONS | 2012年

基金：

新加坡国家研究基金会;

关键词：

Quadratic functional equation; quadratic derivation; superstability; non Archimedean algebra; fixed point; FUNCTIONAL-EQUATION; HOMOMORPHISMS;

D O I：

10.1186/1687-1812-2012-97

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using fixed point method, we prove the Hyers-Ulam stability and the superstability of generalized quadratic ternary derivations on non-Archimedean ternary Banach algebras. Indeed, we investigate the Hyers-Ulam stability and the superstability of the system of functional equations {f([abc]) = [f(a)b(2)c(2)] + [a(2)f(b)c(2)] + [a(2)b(2)f(c)]; g([abc]) = [g(a)b(2)c(2)] + [a(2)f(b)c(2)] + [a(2)b(2)f(c)]; g(ux + vy) + g(ux - vy) = 2u(2)g(x) + 2v(2)g(y); in non-Archimedean ternary Banach algebras.

引用

页码：1 / 8

页数：8

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