Computation of Graphical Derivatives of Normal Cone Maps to a Class of Conic Constraint Sets

被引：0

作者：

Liu, Yulan ^{[1
]}

Sun, Ying ^{[2
]}

Pan, Shaohua ^{[2
]}

机构：

[1] Guangdong Univ Technol, Sch Appl Math, Guangzhou, Guangdong, Peoples R China

[2] South China Univ Technol, Sch Math, Guangzhou, Guangdong, Peoples R China

来源：

SET-VALUED AND VARIATIONAL ANALYSIS | 2019年 / 27卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Graphical derivative; Regular and limiting normal map; Isolated calmness; SENSITIVITY-ANALYSIS; AUBIN PROPERTY; LIPSCHITZIAN PROPERTIES; GENERALIZED EQUATIONS; METRIC REGULARITY; CALMNESS; OPTIMALITY; SUBREGULARITY;

D O I：

10.1007/s11228-018-0494-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper concerns with the graphical derivative of the normals to a class of conic constraint systems. Such a generalized derivative plays a crucial role in characterizing isolated calmness of the solution maps to generalized equations whose multivalued parts are modeled via the normals to the nonconvex conic constraint set. The main contribution of this paper is to provide an exact characterization for the graphical derivative of the normals to this class of nonconvex conic constraints under an assumption without requiring the nondegeneracy of the reference point.

引用

页码：783 / 806

页数：24

共 5 条

[1] Computation of Graphical Derivatives of Normal Cone Maps to a Class of Conic Constraint Sets
Yulan Liu
Ying Sun
Shaohua Pan
Set-Valued and Variational Analysis, 2019, 27 : 783 - 806
[2] COMPUTATION OF GRAPHICAL DERIVATIVE FOR A CLASS OF NORMAL CONE MAPPINGS UNDER A VERY WEAK CONDITION
Nguyen Huy Chieu
Le Van Hien
SIAM JOURNAL ON OPTIMIZATION, 2017, 27 (01) : 190 - 204
[3] Metric subregularity and/or calmness of the normal cone mapping to the p-order conic constraint system
Sun, Ying
Pan, Shaohua
Bi, Shujun
OPTIMIZATION LETTERS, 2019, 13 (05) : 1095 - 1110
[4] Metric subregularity and/or calmness of the normal cone mapping to the p-order conic constraint system
Ying Sun
Shaohua Pan
Shujun Bi
Optimization Letters, 2019, 13 : 1095 - 1110
[5] On Computation of Generalized Derivatives of the Normal-Cone Mapping and Their Applications
Gfrerer, Helmut
Outrata, Jiri V.
MATHEMATICS OF OPERATIONS RESEARCH, 2016, 41 (04) : 1535 - 1556

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