Higher-order optimality conditions in set-valued optimization using Studniarski derivatives and applications to duality

被引：25

作者：

Nguyen Le Hoang Anh ^{[1
]}

机构：

[1] Univ Sci Hochiminh City, Dept Math & Comp Sci, Ho Chi Minh City, Vietnam

来源：

POSITIVITY | 2014年 / 18卷 / 03期

关键词：

Studniarski derivatives; Optimality conditions; Set-valued optimization problem; Efficiency; Generalized subconvexlike; Duality; PROPER EFFICIENCY; CONTINGENT EPIDERIVATIVES; VARIATIONAL SETS;

D O I：

10.1007/s11117-013-0254-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce upper and lower Studniarski derivatives of set-valued maps. By virtue of these derivatives, higher-order necessary and sufficient optimality conditions are obtained for several kinds of minimizers of a set-valued optimization problem. Then, applications to duality are given. Some remarks on several existent results and examples are provided to illustrate our results.

引用

页码：449 / 473

页数：25

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