Generalized implicit hybrid projection-proximal point algorithm for maximal monotone operators in Hilbert space

被引：0

作者：

Ceng, Lu-Chuan ^{[2
]}

Yao, Jen-Chih ^{[1
]}

机构：

[1] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 804, Taiwan

[2] Sci Comp Key Lab Shanghai Univ, Dept Math, Shanghai Normal Univ, Shanghai 200234, Peoples R China

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2008年 / 12卷 / 03期

关键词：

maximal monotone operator; proximal point; inexact iteration; relaxation; weak convergence;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce a generalized implicit hybrid projection-proximal point algorithm for finding zeros of a maximal monotone operator in a Hilbert space setting. The global convergence of the method for the weak topology under appropriate assumptions on the algorithm parameters is established.

引用

页码：753 / 766

页数：14

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