SECOND-ORDER WEAK COMPOSED EPIDERIVATIVES AND APPLICATIONS TO OPTIMALITY CONDITIONS

被引：4

作者：

Wang, Qilin ^{[1
]}

Li, Xiaobing ^{[1
]}

Yu, Guolin ^{[2
]}

机构：

[1] Chongqing Jiaotong Univ, Coll Sci, Chongqing 400074, Peoples R China

[2] Beifang Univ Nationalities, Res Inst Informat & Syst Computat Sci, Yinchuan 750021, Peoples R China

来源：

JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION | 2013年 / 9卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Set-valued optimization; second-order weak composed contingent epiderivatives; second-order optimality conditions; SET-VALUED OPTIMIZATION; CONTINGENT EPIDERIVATIVES; EFFICIENT SOLUTIONS;

D O I：

10.3934/jimo.2013.9.455

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, one introduces the second-order weak composed contingent epiderivative of set-valued maps, and discusses some of its properties. Then, by virtue of the second-order weak composed contingent epiderivative, necessary optimality conditions and sufficient optimality conditions are obtained for set-valued optimization problems. As consequences, recent existing results are derived. Several examples are provided to show the main results obtained.

引用

页码：455 / 470

页数：16

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