On finite and strong convergence of a proximal method for equilibrium problems

被引：15
|
作者：
Mouidafi, Abdellatif [1 ]
机构：
[1] Univ Antilles Guyane, Dept Sci Interfacultaire, GRIMAAG, Campus Schoelcher, F-97230 Martinique, France
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2007年 / 28卷 / 11-12期
关键词：
conditioning; convex programming; equilibrium problem; fixed point problem; proximal method; saddle point; sharp minimum; variational inequality; well-posedness;
D O I：
10.1080/01630560701766684
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce the notions of conditioning and well-posedness for equilibrium problems. Using these concepts, we obtain finite and strong convergence results for the proximal method that improve, develop, and unify several theorems in optimization and nonlinear analysis.
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页码：1347 / 1354
页数：8
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