Sensitivity and stability for the second-order contingent derivative of the proper perturbation map in vector optimization

被引：19

作者：

Wang, Q. L. ^{[1
,2
]}

Li, S. J. ^{[2
]}

机构：

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

[2] Chongqing Univ, Coll Math & Stat, Chongqing 400044, Peoples R China

来源：

OPTIMIZATION LETTERS | 2012年 / 6卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Sensitivity and stability; Vector optimization; Upper and Lower semicontinuity; Proper perturbation maps; Second-order contingent derivatives; ORDER OPTIMALITY CONDITIONS; SET-VALUED OPTIMIZATION; MULTIOBJECTIVE OPTIMIZATION; EFFICIENT SOLUTIONS; MAPPINGS;

D O I：

10.1007/s11590-011-0298-y

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：

Sensitivity analysis and stability analysis in vector optimization are dealt with in this paper. First, some relationships between the second-order contingent derivative of a set-valued map and its profile map are obtained. Secondly, the upper semicontinuity and lower semicontinuity of second-order contingent derivatives of set-valued maps are established. Finally, by virtue of the second-order contingent derivative of set-valued maps, quantitative information and qualitative information on the behavior of the proper perturbation map are obtained.

引用

页码：731 / 748

页数：18

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