Generalized higher-order semi-derivative of the perturbation maps in vector optimization

被引：1
作者：
Pham, Thanh-Hung [1 ,2 ]
机构：
[1] Kien Giang Univ, Fac Pedag, Chau Thanh, Kien Giang, Vietnam
[2] Kien Giang Univ, Fac Social Sci & Humanities, Chau Thanh, Kien Giang, Vietnam
来源：
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS | 2023年 / 40卷 / 02期
关键词：
Parametric vector optimization problems; Generalized mth-order contingent derivatives; Borwein proper efficient solution maps; Borwein proper efficient perturbation maps; Sensitivity analysis; EFFICIENT POINT MULTIFUNCTIONS; SENSITIVITY-ANALYSIS; VARIATIONAL SETS; FULL STABILITY; EPIDERIVATIVES;
D O I：
10.1007/s13160-022-00560-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper, we focus on the higher-order sensitivity analysis in parametric vector optimization problems. We prove that the Borwein proper efficient solution maps/the Borwein proper efficient perturbation maps of a parametric vector optimization problem are generalized higher-order semi-differentiable under some suitable qualification conditions. Several examples are given to illustrate the obtained results.
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页码：929 / 963
页数：35
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