论文标题
在各种规范空间
Approximation of a Cauchy-Jensen additive mapping in various normed spaces
论文作者
论文摘要
在本文中,使用固定点和直接方法,我们证明了在各种规范空间中Cauchy-Jensen加性功能方程的广义Hyers-Ulam-Rassias稳定性。 Hyers-ulam-rassias稳定性的概念起源于Th。 Rassias M. Rassias稳定性定理出现在他的论文中:关于Banach空间中线性映射的稳定性,Proc。阿米尔。数学。 Soc。 72(1978),297-300。
In this paper, using the fixed point and direct methods, we prove the generalized Hyers-Ulam-Rassias stability of a Cauchy-Jensen additive functional equation in various normed spaces. The concept of Hyers-Ulam-Rassias stability originated from Th. M. Rassias stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297-300.