New Generalized Second-Order Contingent Epiderivatives and Set-Valued Optimization Problems

被引：40

作者：

Li, S. J. ^{[1
]}

Zhu, S. K. ^{[1
]}

Teo, K. L. ^{[2
]}

机构：

[1] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China

[2] Curtin Univ Technol, Dept Math & Stat, Perth, WA 6845, Australia

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2012年 / 152卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Set-valued optimization; Generalized second-order composed contingent epiderivative; Optimality conditions; OPTIMALITY CONDITIONS; VECTOR OPTIMIZATION; TANGENT SETS; MAPS;

D O I：

10.1007/s10957-011-9915-2

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：

In this paper, we introduce the concept of a generalized second-order composed contingent epiderivative for set-valued maps and discuss its relationship to the generalized second-order contingent epiderivative. We also investigate some of its properties. Then, by virtue of the generalized second-order composed contingent epiderivative, we establish a unified second-order sufficient and necessary optimality condition for set-valued optimization problems, which is a generalization of the corresponding results in the literature.

引用

页码：587 / 604

页数：18

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