Isolated Calmness and Sharp Minima via Hölder Graphical Derivatives

Alexander Y. Kruger; Marco A. López; Xiaoqi Yang; Jiangxing Zhu

doi:10.1007/s11228-022-00628-1

Isolated Calmness and Sharp Minima via Hölder Graphical Derivatives

Alexander Y. Kruger
, Marco A. López
, Xiaoqi Yang
, Jiangxing Zhu

Research output: Journal article publication › Journal article › Academic research › peer-review

2 Citations (Scopus)

Abstract

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

Original language	English
Pages (from-to)	1423-1441
Number of pages	19
Journal	Set-Valued and Variational Analysis
Volume	30
Issue number	4
DOIs	https://doi.org/10.1007/s11228-022-00628-1
Publication status	Published - Feb 2022

Keywords

Hölder calmness
Hölder graphical derivatives
Hölder sharp minimum
Hölder subregularity
Semi-infinite programming

ASJC Scopus subject areas

Analysis
Statistics and Probability
Numerical Analysis
Geometry and Topology
Applied Mathematics

More information

10.1007/s11228-022-00628-1

Cite this

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abstract = "The paper utilizes H{\"o}lder graphical derivatives for characterizing H{\"o}lder strong subregularity, isolated calmness and sharp minimum. As applications, we characterize H{\"o}lder isolated calmness in linear semi-infinite optimization and H{\"o}lder sharp minimizers of some penalty functions for constrained optimization.",

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AU - Kruger, Alexander Y.

AU - López, Marco A.

AU - Yang, Xiaoqi

AU - Zhu, Jiangxing

PY - 2022/2

Y1 - 2022/2

N2 - The paper utilizes Hölder graphical derivatives for characterizing Hölder strong subregularity, isolated calmness and sharp minimum. As applications, we characterize Hölder isolated calmness in linear semi-infinite optimization and Hölder sharp minimizers of some penalty functions for constrained optimization.

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

KW - Hölder calmness

KW - Hölder graphical derivatives

KW - Hölder sharp minimum

KW - Hölder subregularity

KW - Semi-infinite programming

UR - https://www.scopus.com/pages/publications/85124274638

U2 - 10.1007/s11228-022-00628-1

DO - 10.1007/s11228-022-00628-1

M3 - Journal article

AN - SCOPUS:85124274638

SN - 1877-0533

VL - 30

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JO - Set-Valued and Variational Analysis

JF - Set-Valued and Variational Analysis

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ER -

Isolated Calmness and Sharp Minima via Hölder Graphical Derivatives

Abstract

Keywords

ASJC Scopus subject areas

More information

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