Tilt Stability for Nonlinear Programs under Relaxed Constant Rank Constraint Qualification
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913982720245760 |
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| author | Chieu, Nguyen Huy Trang, Nguyen Thi Quynh Yen, Nguyen Thi Hai |
| author_facet | Chieu, Nguyen Huy Trang, Nguyen Thi Quynh Yen, Nguyen Thi Hai |
| contents | This paper investigates the tilt stability of local minimizers for nonlinear programs under the relaxed constant rank constraint qualification in finite dimensions. By employing a neighborhood primal-dual approach and extending calculus rules for subgradient graphical derivative, we obtain some pointbased characterizations of tilt-stable local minimizers along with an explicit formula for calculating the exact bound of tilt stability. These results extend the corresponding ones of H. Gfrerer and B.S.Mordukhovich [SIAM J. Optim. 25 (2015), 2081-2119] by relaxing the constraint qualification and removing the linear independence condition of gradients of equality constraint functions. Examples are provided illustrating our findings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_06927 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Tilt Stability for Nonlinear Programs under Relaxed Constant Rank Constraint Qualification Chieu, Nguyen Huy Trang, Nguyen Thi Quynh Yen, Nguyen Thi Hai Optimization and Control This paper investigates the tilt stability of local minimizers for nonlinear programs under the relaxed constant rank constraint qualification in finite dimensions. By employing a neighborhood primal-dual approach and extending calculus rules for subgradient graphical derivative, we obtain some pointbased characterizations of tilt-stable local minimizers along with an explicit formula for calculating the exact bound of tilt stability. These results extend the corresponding ones of H. Gfrerer and B.S.Mordukhovich [SIAM J. Optim. 25 (2015), 2081-2119] by relaxing the constraint qualification and removing the linear independence condition of gradients of equality constraint functions. Examples are provided illustrating our findings. |
| title | Tilt Stability for Nonlinear Programs under Relaxed Constant Rank Constraint Qualification |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2508.06927 |