Vector Variational Inequalities Involving Set-valued Mappings via Scalarization with Applications to Error Bounds for Gap Functions

被引：0
作者：
J. Li
G. Mastroeni
机构：
[1] China West Normal University,School of Mathematics and Information
[2] University of Pisa,Department of Mathematics
来源：
Journal of Optimization Theory and Applications | 2010年 / 145卷
关键词：
Vector variational inequalities; Set-valued mappings; Scalarization; Gap functions; Error bounds;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, by using the scalarization approach of Konnov, several kinds of strong and weak scalar variational inequalities (SVI and WVI) are introduced for studying strong and weak vector variational inequalities (SVVI and WVVI) with set-valued mappings, and their gap functions are suggested. The equivalence among SVVI, WVVI, SVI, WVI is then established under suitable conditions and the relations among their gap functions are analyzed. These results are finally applied to the error bounds for gap functions. Some existence theorems of global error bounds for gap functions are obtained under strong monotonicity and several characterizations of global (respectively local) error bounds for the gap functions are derived.
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页码：355 / 372
页数：17
相关论文
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