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.

引用

页码：929 / 963

页数：35