- Title
- Radius theorems for subregularity in infinite dimensions
- Creator
- Gfrerer, Helmut; Kruger, Alexander
- Date
- 2023
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/199445
- Identifier
- vital:19210
- Identifier
-
https://doi.org/10.1007/s10589-022-00431-6
- Identifier
- ISSN:0926-6003 (ISSN)
- Abstract
- The paper continues our previous work (Dontchev et al. in Set-Valued Var Anal 28:451–473, 2020) on the radius of subregularity that was initiated by Asen Dontchev. We extend the results of (Dontchev et al. in Set-Valued Var Anal 28:451–473, 2020) to general Banach/Asplund spaces and to other classes of perturbations, and sharpen the coderivative tools used in the analysis of the robustness of well-posedness of mathematical problems and related regularity properties of mappings involved in the statements. We also expand the selection of classes of perturbations, for which the formula for the radius of strong subregularity is valid. © 2023, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.
- Publisher
- Springer
- Relation
- Computational Optimization and Applications Vol. 86, no. 3 (2023), p. 1117-1158; 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 © The Author(s)
- Rights
- Open Access
- Subject
- 4901 Applied mathematics; 4903 Numerical and computational mathematics; Generalized differentiation; Radius theorems; Subregularity
- Full Text
- Reviewed
- Funder
- The second author benefited from the support of the Australian Research Council, project DP160100854, and the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska–Curie Grant Agreement No. 823731 CONMECH.
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