Approximating Curve and Strong Convergence of the CQ Algorithm for the Split Feasibility Problem

被引：103

作者：

Wang, Fenghui ^{[2
,3
]}

Xu, Hong-Kun ^{[1
]}

机构：

[1] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan

[2] E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

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

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2010年

关键词：

ITERATIVE ALGORITHMS; CONVEX-SETS;

D O I：

10.1155/2010/102085

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the idea of Tikhonov's regularization, we present properties of the approximating curve for the split feasibility problem (SFP) and obtain the minimum-norm solution of SFP as the strong limit of the approximating curve. It is known that in the infinite-dimensional setting, Byrne's CQ algorithm (Byrne, 2002) has only weak convergence. We introduce a modification of Byrne's CQ algorithm in such a way that strong convergence is guaranteed and the limit is also the minimum-norm solution of SFP.

引用

页数：13

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