Higher-order tangent derivative and its applications to sensitivity analysis

被引：0
|
作者：
Nguyen Le Hoang Anh [1 ,2 ]
Nguyen Manh Truong Giang [1 ,2 ]
Nguyen Vy Thong [1 ,2 ]
机构：
[1] Univ Sci, Dept Optimizat & Syst Theory, Ho Chi Minh City, Vietnam
[2] Vietnam Natl Univ, Ho Chi Minh City, Vietnam
来源：
OPTIMIZATION LETTERS | 2022年 / 16卷 / 06期
关键词：
Higher-order tangent derivative; Calculus rules; Perturbation map; Sensitivity analysis; Set-valued optimization problem; OPTIMALITY CONDITIONS; VARIATIONAL SETS; CALCULUS; OPTIMIZATION; NONSMOOTH; MAPS;
D O I：
10.1007/s11590-021-01797-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：
In the paper, we study the higher-order tangent derivative for set-valued maps. More precisely, we first develop its calculus rules. Then, via this derivative, some contributions to sensitivity analysis in set-valued optimization are proposed. Several examples are given to illustrate our results.
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页码：1701 / 1724
页数：24
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