On second-order Karush--Kuhn--Tucker optimality conditions for $C^{1,1}$ vector optimization problems
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866929738706059264 |
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| author | Van Tuyen, Nguyen |
| author_facet | Van Tuyen, Nguyen |
| contents | This paper focuses on optimality conditions for $C^{1,1}$ vector optimization problems with inequality constraints. By employing the limiting second-order subdifferential and the second-order tangent set, we introduce a new type of second-order constraint qualification in the sense of Abadie. Then we establish some second-order necessary optimality conditions of Karush--Kuhn--Tucker-type for local (weak) efficient solutions of the considered problem. In addition, we provide some sufficient conditions for a local efficient solution of the such problem. The obtained results improve existing ones in the literature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_00927 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On second-order Karush--Kuhn--Tucker optimality conditions for $C^{1,1}$ vector optimization problems Van Tuyen, Nguyen Optimization and Control 49K30, 90C29, 90C46, 49J52, 49J53 This paper focuses on optimality conditions for $C^{1,1}$ vector optimization problems with inequality constraints. By employing the limiting second-order subdifferential and the second-order tangent set, we introduce a new type of second-order constraint qualification in the sense of Abadie. Then we establish some second-order necessary optimality conditions of Karush--Kuhn--Tucker-type for local (weak) efficient solutions of the considered problem. In addition, we provide some sufficient conditions for a local efficient solution of the such problem. The obtained results improve existing ones in the literature. |
| title | On second-order Karush--Kuhn--Tucker optimality conditions for $C^{1,1}$ vector optimization problems |
| topic | Optimization and Control 49K30, 90C29, 90C46, 49J52, 49J53 |
| url | https://arxiv.org/abs/2503.00927 |