Characterizations of the Aubin property of the KKT-mapping in composite optimization by SC derivatives and quadratic bundles
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866908815770779648 |
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| author | Gfrerer, Helmut Outrata, Jiri V. |
| author_facet | Gfrerer, Helmut Outrata, Jiri V. |
| contents | For general set-valued mappings, the Aubin property is ultimately tied to limiting coderivatives by the Mordukhovich criterion. Likewise, the existence of single-valued Lipschitzian localizations is related to strict graphical derivatives. In this paper we will show that for the special case of the KKT-mapping from composite optimization, the Aubin property and the existence of single-valued Lipschitzian localizations can be characterized by SC derivatives and quadratic bundles, respectively, which are easier accessible than limiting coderivatives and strict graphical derivatives. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2602_05684 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Characterizations of the Aubin property of the KKT-mapping in composite optimization by SC derivatives and quadratic bundles Gfrerer, Helmut Outrata, Jiri V. Optimization and Control 49J52, 49J53, 90C26 For general set-valued mappings, the Aubin property is ultimately tied to limiting coderivatives by the Mordukhovich criterion. Likewise, the existence of single-valued Lipschitzian localizations is related to strict graphical derivatives. In this paper we will show that for the special case of the KKT-mapping from composite optimization, the Aubin property and the existence of single-valued Lipschitzian localizations can be characterized by SC derivatives and quadratic bundles, respectively, which are easier accessible than limiting coderivatives and strict graphical derivatives. |
| title | Characterizations of the Aubin property of the KKT-mapping in composite optimization by SC derivatives and quadratic bundles |
| topic | Optimization and Control 49J52, 49J53, 90C26 |
| url | https://arxiv.org/abs/2602.05684 |