Optimality Condition for Local Efficient Solutions of Vector Equilibrium Problems via Convexificators and Applications

被引：34
作者：
Do Van Luu [1 ]
机构：
[1] Thang Long Univ, Vietnam Acad Sci & Technol, Inst Math, Hanoi, Vietnam
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2016年 / 171卷 / 02期
关键词：
Vector equilibrium problems; Vector variational inequalities; Vector optimization problems; Regular points in the sense of Ioffe; Fritz John and Karush-Kuhn-Tucker optimality conditions; Convexificators; VARIATIONAL-INEQUALITIES; SUFFICIENT CONDITIONS; OPTIMIZATION;
D O I：
10.1007/s10957-015-0815-8
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：
Fritz John and Karush-Kuhn-Tucker necessary conditions for local efficient solutions of constrained vector equilibrium problems in Banach spaces in which those solutions are regular in the sense of Ioffe via convexificators are established. Under suitable assumptions on generalized convexity, sufficient conditions are derived. Some applications to constrained vector variational inequalities and constrained vector optimization problems are also given.
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页码：643 / 665
页数：23
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