Hilbert空间上有限个非扩张映象的隐式迭代过程

An Implicit Iterative Process for a Finite Family of Nonexpansive Mappings in Hilbert Space

在对参数较弱的限制条件下,本文利用Hilbert空间恒等式及Opial性质,在Hilbert空间上对有限个具有公共不动点的非扩张映象,研究了具误差的隐式迭代序列的弱收敛性和强收敛性。

Under weaker restrictive condition for the parameter, this paper presents the study of the weak convergence and strong convergence of the implicit iterative sequence with errors for a finite family of nonexpansive mappings with common fixed points in Hilbert space by using Hilbert space identity and Opial＇s property for the Hilbert spaces.