Isolated Calmness and Sharp Minima via Hölder Graphical Derivatives

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

Research output: Journal article publicationJournal articleAcademic researchpeer-review

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 languageEnglish
Pages (from-to)1423-1441
Number of pages19
JournalSet-Valued and Variational Analysis
Volume30
Issue number4
DOIs
Publication statusPublished - 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

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