Isolated Calmness and Sharp Minima via Holder Graphical Derivatives

被引：0

作者：

Kruger, Alexander Y. ^{[1
,2
]}

Lopez, Marco A. ^{[1
,3
]}

Yang, Xiaoqi ^{[4
]}

Zhu, Jiangxing ^{[5
]}

机构：

[1] Federat Univ Australia, Ctr Informat & Appl Optimizat, Ballarat, Australia

[2] RMIT Univ, Melbourne, Australia

[3] Univ Alicante, Dept Math, Alicante, Spain

[4] Hong Kong Polytech Univ, Dept Appl Math, Hung Hom, Hong Kong, Peoples R China

[5] Yunnan Univ, Dept Math, Kunming, Peoples R China

来源：

SET-VALUED AND VARIATIONAL ANALYSIS | 2022年 / 30卷 / 04期

关键词：

H older subregularity; Holder calmness; H older sharp minimum; Holder graphical derivatives; Semi-infinite programming; METRIC REGULARITY; SUBREGULARITY; STABILITY; ORDER;

D O I：

10.1007/s11228-022-00628-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper utilizes H older graphical derivatives for characterizing H older strong subregularity, isolated calmness and sharp minimum. As applications, we characterize H older isolated calmness in linear semi-infinite optimization and Holder sharp minimizers of some penalty functions for constrained optimization.

引用

页码：1423 / 1441

页数：19

共 29 条

[1] Artacho FJA, 2014, J NONLINEAR CONVEX A, V15, P35
[2] Aubin J-P., 1990, SET-VALUED ANAL, DOI 10.1007/978-0-8176-4848-0
[3] Aubin JP., 1984, APPL NONLINEAR ANAL
[4] Stability of Indices in the KKT Conditions and Metric Regularity in Convex Semi-Infinite Optimization
Canovas, M. J.
Hantoute, A.
Lopez, M. A.
Parra, J.
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2008, 139 (03) : 485 - 500
[5] Isolated calmness of solution mappings in convex semi-infinite optimization
Canovas, M. J.
Dontchev, A. L.
Lopez, M. A.
Parra, J.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 350 (02) : 829 - 837
[6] Metric regularity of semi-infinite constraint systems
Cánovas, MJ
Dontchev, L
López, MA
Parra, J
[J]. MATHEMATICAL PROGRAMMING, 2005, 104 (2-3) : 329 - 346
[7] Dontchev AL., 2014, SPRINGER SERIES OPER, V2nd
[8] Metric subregularity of order q and the solving of inclusions
Gaydu, Michael
Geoffroy, Michel H.
Jean-Alexis, Celia
[J]. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2011, 9 (01): : 147 - 161
[9] Goberna MA, 1998, NONCON OPTIM ITS APP, V25, P3
[10] A unified augmented Lagrangian approach to duality and exact penalization
Huang, XX
Yang, XQ
[J]. MATHEMATICS OF OPERATIONS RESEARCH, 2003, 28 (03) : 533 - 552

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