arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 0906.0617math.FA
收藏

三元巴拿赫代数中Jensen型函数方程的稳定性:另一种不动点方法

Stability of the Jensen--type functional equation in ternary Banach algebras: An alternative fixed point approach

A. Ebadian, Sh. Najafzadeh

摘要:

利用不动点方法,证明了Jensen型函数方程$$f(\frac{x+y+z}{3})+f(\frac{x-2y+z}{3})+f(\frac{x+y-2z}{3})= f(x).$$的三值巴拿赫代数中三值同态和三值乘子的广义Hyers-Ulam-Rassias稳定性

英文摘要:

Using fixed point methods, we prove the generalized Hyers--Ulam--Rassias stability of ternary homomorphisms, and ternary multipliers in ternary Banach algebras for the Jensen--type functional equation $$f(\frac{x+y+z}{3})+f(\frac{x-2y+z}{3})+f(\frac{x+y-2z}{3})= f(x).$$

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑