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
收藏
页码：820 / 834
页数：15
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