Weak and Strong Convergence of Two Algorithms for the Split Fixed Point Problem

被引：15

作者：

Wang, Fenghui ^{[1
]}

Xu, Hong-Kun ^{[2
]}

机构：

[1] Luoyang Normal Univ, Dept Math, Luoyang 471022, Peoples R China

[2] Hangzhou Dianzi Univ, Sch Sci, Dept Math, Hangzhou 310018, Zhejiang, Peoples R China

来源：

NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS | 2018年 / 11卷 / 04期

关键词：

Split feasibility; fixed point; Fejer-monotonicity; nonexpansive mapping; projection; iterative algorithm; ITERATIVE ALGORITHMS; PROJECTION;

D O I：

10.4208/nmtma.2018.s05

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two iterative algorithms are proposed for the split fixed point problem. The first algorithm is shown to be weakly convergent and the second one to be strongly convergent. One feature of these algorithms is that the stepsizes are chosen in such a way that no priori knowledge of the operator norms is required. A new idea is introduced in order to prove strong convergence of the second algorithm.

引用

页码：770 / 781

页数：12

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