- Title
- Isolated calmness and sharp minima via Hölder Graphical Derivatives
- Creator
- Kruger, Alexander; López, Marco; Yang, Xiaoqi; Zhu, Jiangxing
- Date
- 2022
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/189809
- Identifier
- vital:17494
- Identifier
-
https://doi.org/10.1007/s11228-022-00628-1
- Identifier
- ISSN:1877-0533 (ISSN)
- 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. © 2022, The Author(s).
- Publisher
- Springer Science and Business Media B.V.
- Relation
- Set-Valued and Variational Analysis Vol. 30, no. 4 (2022), p. 1423-1441; https://purl.org/au-research/grants/arc/DP160100854
- Rights
- All metadata describing materials held in, or linked to, the repository is freely available under a CC0 licence
- Rights
- Copyright © 2022, The Author(s)
- Rights
- Open Access
- Subject
- 4901 Applied mathematics; 4904 Pure mathematics; Hölder calmness; Hölder graphical derivatives; Hölder sharp minimum; Hölder subregularity; Semi-infinite programming
- Full Text
- Reviewed
- Funder
- The research of the first and second authors was supported by the Australian Research Council, project DP160100854. The first author benefited from the support of the European Union’s Horizon 2020 research and innovation programme under the Marie Sk
- Hits: 900
- Visitors: 945
- Downloads: 53
| Thumbnail | File | Description | Size | Format | |||
|---|---|---|---|---|---|---|---|
| View Details Download | SOURCE1 | Published version | 540 KB | Adobe Acrobat PDF | View Details Download |