Iterative algorithms for nonlinear operators

被引：1602

作者：

Xu, HK ^{[1
]}

机构：

[1] Univ KwaZulu Natal, Dept Math, ZA-4000 Durban, South Africa

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2002年 / 66卷

基金：

新加坡国家研究基金会;

关键词：

D O I：

10.1112/S0024610702003332

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Iterative algorithms for nonexpansive mappings and maximal monotone operators are investigated. Strong convergence theorems are proved for nonexpansive mappings, including an improvement of a result of Lions. A modification of Rockafellar's proximal point algorithm is obtained and proved to be always strongly convergent. The ideas of these algorithms are applied to solve a quadratic minimization problem.

引用

页码：240 / 256

页数：17

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