Extension of the hybrid steepest descent method to a class of variational inequalities and fixed point problems with nonself-mappings

被引：13

作者：

Mainge, Paul-Emile ^{[1
]}

机构：

[1] Univ Antilles Guyane, Dept Sci Interfacultaire, GRIMAAG, Campus Schoelcher, F-97230 Schoelcher, Martinique, France

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2008年 / 29卷 / 7-8期

关键词：

bilevel optimization; convex minimization; fixed point method; variational inequality; viscosity method;

D O I：

10.1080/01630560802279371

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we discuss the strong convergence of the hybrid steepest descent method relative to the case when the involved operators belong to a wide class of possibly nonself-mappings. Our convergence results cover previous ones, and the techniques of analysis used are simple and can be adapted to many other fixed point methods.

引用

页码：820 / 834

页数：15

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