On Second-Order Composed Proto-Differentiability of Proper Perturbation Maps in Parametric Vector Optimization Problems

被引：4
作者：
Le Thanh Tung [1 ]
机构：
[1] Can Tho Univ, Coll Nat Sci, Dept Math, Can Tho 900000, Vietnam
来源：
ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH | 2021年 / 38卷 / 01期
关键词：
Parametric vector optimization problems; second-order composed proto-differentiability; proper efficient solution maps; proper perturbation maps; SENSITIVITY-ANALYSIS; EPIDERIVATIVES;
D O I：
10.1142/S0217595920500402
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：
The main aim of this paper is to study second-order sensitivity analysis in parametric vector optimization problems. We prove that the proper perturbation maps and the proper efficient solution maps of parametric vector optimization problems are second-order composed proto-differentiable under some appropriate qualification conditions. Some examples are provided to illustrate our results.
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页数：24
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