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

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