正交3-Lie同态的超稳定性：一种正交不动点方法
泛函分析
2020-02-18 v1
摘要
本文利用正交不动点方法，证明了3-Lie代数中加性-函数方程的Hyers-Ulam稳定性与正交3-Lie同态的超稳定性。具体而言，我们研究3-Lie代数中函数方程组\begin{eqnarray*} \left\{ \begin{array}{ll} f(x+y)-f(x)-f(y)= \rho(2f(\frac{x+y}{2})+ f(x)+ f(y)),\\ f([[x,y],z])=[[f(x),f(y)],f(z)] \end{array} \right. \end{eqnarray*}的Hyers-Ulam稳定性与超稳定性（其中为满足的给定实数）。
引用
@article{arxiv.2002.06441,
title = {Hyperstability of orthogonally 3-Lie homomorphism: an orthogonally fixed point approach},
author = {Vahid Keshavarz and Sedigheh Jahedi and Themistocles M. Rassias},
journal= {arXiv preprint arXiv:2002.06441},
year = {2020}
}