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

被引：39
|
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
收藏
页码：587 / 604
页数：18
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