A modified extragradient method for inverse-monotone operators in Banach spaces

被引：5
作者：
Li, Liwei [1 ]
Song, W. [1 ]
机构：
[1] Harbin Normal Univ, Dept Math, Harbin 150080, Peoples R China
来源：
JOURNAL OF GLOBAL OPTIMIZATION | 2009年 / 44卷 / 04期
关键词：
Extragradient method; Uniformly convex and uniformly smooth Banach space; Weakly sequentially continuous; Inverse-monotone operators; Weak convergence; STRONG-CONVERGENCE THEOREMS; PROXIMAL POINT; EXISTENCE; ALGORITHM;
D O I：
10.1007/s10898-008-9361-3
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
We introduce an iterative procedure for finding a point in the zero set (a solution to 0 a A(v) and v a C) of an inverse-monotone or inverse strongly-monotone operator A on a nonempty closed convex subset C in a uniformly smooth and uniformly convex Banach space. We establish weak convergence results under suitable assumptions.
引用
收藏
页码：609 / 629
页数：21
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