OPTIMALITY CONDITIONS FOR WEAKLY EFFICIENT SOLUTIONS OF VECTOR VARIATIONAL INEQUALITIES VIA CONVEXIFICATORS

被引：4

作者：

Tran Thi Mai ^{[1
]}

Do Van Luu ^{[2
,3
]}

机构：

[1] Thai Nguyen Univ Econ & Business Adm, Thai Nguyen, Vietnam

[2] Thang Long Univ, TIMAS, Hanoi, Vietnam

[3] Vietnam Acad Sci & Technol, Inst Math, Hanoi, Vietnam

来源：

JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS | 2018年 / 2卷 / 03期

关键词：

Vector variational inequality; Weakly efficient solution; Fritz John and Karush-Kuhn-Tucker efficiency conditions; Convexificators; Locally Lipschitz functions; SUFFICIENT CONDITIONS; CALCULUS;

D O I：

10.23952/jnva.2.2018.3.10

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Fritz John necessary conditions for weakly efficient solutions of nonsmooth vector variational inequality problems with constraints in terms of convexificators are derived. Karush-Kuhn-Tucker necessary efficiency conditions are established under aMangasarian-Fromovitz type constraint qualification. Finally, sufficient conditions are given under suitable assumptions on the generalized convexity.

引用

页码：379 / 389

页数：11

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