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

被引：0
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作者：
Fenghui Wang
Hong-Kun Xu
机构：
[1] East China University of Science and Technology,Department of Mathematics
[2] Luoyang Normal University,Department of Mathematics
[3] National Sun Yat-Sen University,Department of Applied Mathematics
来源：
Journal of Inequalities and Applications | / 2010卷
关键词：
Minimization Problem; Weak Convergence; Nonexpansive Mapping; Strong Convergence; Bounded Linear Operator;
D O I：
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学科分类号：
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.
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