On Gap Functions for Multivalued Stampacchia Variational Inequalities

被引：22
|
作者：
Aussel, D. [1 ]
Dutta, J. [2 ]
机构：
[1] Univ Perpignan, Lab PROMES, F-66025 Perpignan, France
[2] Indian Inst Technol, Dept Math & Stat, Kanpur 208016, Uttar Pradesh, India
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2011年 / 149卷 / 03期
关键词：
Stampacchia variational inequalities; Gap functions; Set-valued maps; Normalization; Directionally closed; OPTIMIZATION; EXISTENCE; SETS;
D O I：
10.1007/s10957-011-9801-y
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
Gap functions have proved to be efficient tools to study single-valued variational inequalities. This approach allows us to reformulate the problem into an optimization problem. New notions of gap functions are defined for set-valued variational inequalities. We prove finiteness and error bounds properties, i.e. upper estimates for the distance to the solution set of the variational inequality.
引用
收藏
页码：513 / 527
页数：15
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