各类赋范空间中 Cauchy-Jensen 加性映射的逼近
泛函分析
2020-02-24 v2
摘要
本文利用不动点方法和直接方法，证明了各类赋范空间中 Cauchy-Jensen 加性函数方程的广义 Hyers-Ulam-Rassias 稳定性。Hyers-Ulam-Rassias 稳定性的概念源于 Th. M. Rassias 的稳定性定理，该定理出现于其论文：On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297-300。
引用
@article{arxiv.2002.06999,
title = {Approximation of a Cauchy-Jensen additive mapping in various normed spaces},
author = {H. Azadi Kenary and Th. M. Rassias},
journal= {arXiv preprint arXiv:2002.06999},
year = {2020}
}
备注
37 pages. arXiv admin note: text overlap with arXiv:0812.5015 by other authors