REGULARIZATION AND ITERATION METHODS FOR A CLASS OF MONOTONE VARIATIONAL INEQUALITIES

被引：19

作者：

Chen, Rudong ^{[1
]}

Su, Yongfu ^{[1
]}

Xu, Hong-Kun ^{[2
]}

机构：

[1] Tianjin Polytech Univ, Dept Math, Tianjin 300160, Peoples R China

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

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2009年 / 13卷 / 2B期

关键词：

Regularization; Variational inequality; Nonexpansive mapping; Iterative method; Projection; NONEXPANSIVE-MAPPINGS; FIXED-POINTS; APPROXIMATION; CONVERGENCE; SPACES;

D O I：

10.11650/twjm/1500405399

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the monotone variational inequality of finding x* is an element of C such that <(I-T)x*, x-x*> >= 0 for x is an element of C, where C is a closed convex subset of a real Hilbert space and T is a nonexpansive self-mapping of C. Techniques of nonexpansive mappings are applied to regularize this variational inequality. The regularized solutions and an iteration process are shown to converge in norm to a solution of this variational inequality.

引用

页码：739 / 752

页数：14

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