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
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 $$f(\frac{x+y+z}{3})+f(\frac{x-2y+z}{3})+f(\frac{x+y-2z}{3})= f(x).$$
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