Non-existence of perturbed solutions under a second-order sufficient condition
We present an optimization problem in infinite dimensions which satisfies the usual second-order sufficient condition but for which perturbed problems fail to possess solutions.
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| Format: | Article |
| Language: | English |
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Elsevier
2023-12-01
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| Series: | Examples and Counterexamples |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666657X23000241 |
| _version_ | 1797399047593525248 |
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| author | Gerd Wachsmuth |
| author_facet | Gerd Wachsmuth |
| author_sort | Gerd Wachsmuth |
| collection | DOAJ |
| description | We present an optimization problem in infinite dimensions which satisfies the usual second-order sufficient condition but for which perturbed problems fail to possess solutions. |
| first_indexed | 2024-03-09T01:33:48Z |
| format | Article |
| id | doaj.art-fb460f8546434d84a3268b67759b449f |
| institution | Directory Open Access Journal |
| issn | 2666-657X |
| language | English |
| last_indexed | 2024-03-09T01:33:48Z |
| publishDate | 2023-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Examples and Counterexamples |
| spelling | doaj.art-fb460f8546434d84a3268b67759b449f2023-12-09T06:08:12ZengElsevierExamples and Counterexamples2666-657X2023-12-014100122Non-existence of perturbed solutions under a second-order sufficient conditionGerd Wachsmuth0Brandenburgische Technische Universität Cottbus–Senftenberg, Institute of Mathematics, 03046 Cottbus, GermanyWe present an optimization problem in infinite dimensions which satisfies the usual second-order sufficient condition but for which perturbed problems fail to possess solutions.http://www.sciencedirect.com/science/article/pii/S2666657X23000241Perturbation analysisStability of solutionsSecond-order sufficient conditions |
| spellingShingle | Gerd Wachsmuth Non-existence of perturbed solutions under a second-order sufficient condition Examples and Counterexamples Perturbation analysis Stability of solutions Second-order sufficient conditions |
| title | Non-existence of perturbed solutions under a second-order sufficient condition |
| title_full | Non-existence of perturbed solutions under a second-order sufficient condition |
| title_fullStr | Non-existence of perturbed solutions under a second-order sufficient condition |
| title_full_unstemmed | Non-existence of perturbed solutions under a second-order sufficient condition |
| title_short | Non-existence of perturbed solutions under a second-order sufficient condition |
| title_sort | non existence of perturbed solutions under a second order sufficient condition |
| topic | Perturbation analysis Stability of solutions Second-order sufficient conditions |
| url | http://www.sciencedirect.com/science/article/pii/S2666657X23000241 |
| work_keys_str_mv | AT gerdwachsmuth nonexistenceofperturbedsolutionsunderasecondordersufficientcondition |