Stability of ternary antiderivation in ternary Banach algebras via fixed point theorem

被引：1

作者：

Dehghanian, Mehdi ^{[1
]}

Park, Choonkil ^{[2
]}

Sayyari, Yamin ^{[1
]}

机构：

[1] Sirjan Univ Technol, Dept Math, Sirjan, Iran

[2] Hanyang Univ, Res Inst Convergence Basic Sci, Seoul 04763, South Korea

来源：

CUBO-A MATHEMATICAL JOURNAL | 2023年 / 25卷 / 02期

关键词：

Hyers-Ulam stability; stability; fixed point method; ternary antiderivation; ternary Banach algebra; additive functional inequality; HOMOMORPHISMS; DERIVATIONS;

D O I：

10.56754/0719-0646.2502.273

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce the concept of ternary antiderivation on ternary Banach algebras and investigate the stability of ternary antiderivation in ternary Banach algebras, associated to the (alpha, ss)-functional inequality parallel to.F(x + y + z) - F(x + z) - F(y - x + z) - F(x - z)parallel to <=parallel to alpha(F(x + y - z) + F(x - z) - F(y))parallel to +parallel to ss(F(x - z) + F(x) - F(z))parallel to where a and ss are fixed nonzero complex numbers with |alpha|+ |ss| < 2 by using the fixed point method.

引用

页码：273 / 288

页数：16

共 30 条

[11] Ternary γ-homomorphisms and ternary γ-derivations on ternary semigroups [J].