Hilbert空间非扩张映像的迭代算法的收敛性

Convergence of A Iterative Method for Nonexpansive Mappings in Hilbert Spaces

在Hilbert空间框架下介绍了一种逼近非扩张映像不动点的修正的Mann迭代序列.并且在一定的条件下,建立了该迭代序列的强收敛定理.该文结果是一些作者早期与最近的相应结果的改进与推广。

In this paper, we introduce a modified Mann iterative process for approximating a fixed point of nonexpansive mappings in Hilbert spaces. We establish some strong convergence theorems of the iteration scheme under some mild conditions. The results improve and extend the corresponding results of many others.