- Title
- Robust and continuous metric subregularity for linear inequality systems
- Creator
- Camacho, J.; Cánovas, Maria; López, Marco; Parra, Juan
- Date
- 2023
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/199481
- Identifier
- vital:19205
- Identifier
-
https://doi.org/10.1007/s10589-022-00437-0
- Identifier
- ISSN:0926-6003 (ISSN)
- Abstract
- This paper introduces two new variational properties, robust and continuous metric subregularity, for finite linear inequality systems under data perturbations. The motivation of this study goes back to the seminal work by Dontchev, Lewis, and Rockafellar (2003) on the radius of metric regularity. In contrast to the metric regularity, the unstable continuity behavoir of the (always finite) metric subregularity modulus leads us to consider the aforementioned properties. After characterizing both of them, the radius of robust metric subregularity is computed and some insights on the radius of continuous metric subregularity are provided. © 2022, The Author(s).
- Publisher
- Springer
- Relation
- Computational Optimization and Applications Vol. 86, no. 3 (2023), p. 967-988
- Rights
- All metadata describing materials held in, or linked to, the repository is freely available under a CC0 licence
- Rights
- http://creativecommons.org/licenses/by/4.0/
- Rights
- Copyright © 2022, The Author(s)
- Rights
- Open Access
- Subject
- 4901 Applied mathematics; 4903 Numerical and computational mathematics; Calmness; Feasible set mapping; Linear inequality systems; Radius of metric subregularity
- Full Text
- Reviewed
- Funder
- This research has been partially supported by Grant PGC2018-097960-B-C2(1,2) from MICINN, Spain, and ERDF, “A way to make Europe”, European Union, and Grant PROMETEO/2021/063 from Generalitat Valenciana, Spain.
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