Radius theorems for subregularity in infinite dimensions
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...
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| Vydáno v: | Computational optimization and applications Ročník 86; číslo 3; s. 1117 - 1158 |
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| Médium: | Journal Article |
| Jazyk: | angličtina |
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01.12.2023
Springer Nature B.V |
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| ISSN: | 0926-6003, 1573-2894 |
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| 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. |
|---|---|
| AbstractList | 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. 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. |
| Author | Gfrerer, Helmut Kruger, Alexander Y. |
| Author_xml | – sequence: 1 givenname: Helmut orcidid: 0000-0001-6860-102X surname: Gfrerer fullname: Gfrerer, Helmut organization: Institute of Computational Mathematics, Johannes Kepler University Linz – sequence: 2 givenname: Alexander Y. orcidid: 0000-0002-7861-7380 surname: Kruger fullname: Kruger, Alexander Y. email: alexanderkruger@tdtu.edu.vn organization: Optimization Research Group, Faculty of Mathematics and Statistics, Ton Duc Thang University |
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| SubjectTerms | Algorithms Banach spaces Computational mathematics Convex and Discrete Geometry Management Science Mathematical functions Mathematics Mathematics and Statistics Operations Research Operations Research/Decision Theory Optimization Perturbation Robustness (mathematics) Statistics Theorems |
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| Title | Radius theorems for subregularity in infinite dimensions |
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