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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.19642 |
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| _version_ | 1866929648975216640 |
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| author | Bednarczuk, Ewa M. Leśniewski, Krzysztof W. Rutkowski, Krzysztof E. |
| author_facet | Bednarczuk, Ewa M. Leśniewski, Krzysztof W. Rutkowski, Krzysztof E. |
| contents | We introduce a constraint qualification condition (GPMFCQ) for smooth infinite programming problems, where the nonlinear operator defining the equality constraints has nonsurjective derivative at the local minimum. The condition is a generalization of PMFCQ introduced by Morduhovich and Nghia. We prove the existence of Lagrange multipliers by using either Hurwicz set or Nonlinear Farkas Minkowski condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_19642 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Mangasarian-Fromovitz-type constraint qualification and optimality conditions for smooth infinite programming problems Bednarczuk, Ewa M. Leśniewski, Krzysztof W. Rutkowski, Krzysztof E. Optimization and Control We introduce a constraint qualification condition (GPMFCQ) for smooth infinite programming problems, where the nonlinear operator defining the equality constraints has nonsurjective derivative at the local minimum. The condition is a generalization of PMFCQ introduced by Morduhovich and Nghia. We prove the existence of Lagrange multipliers by using either Hurwicz set or Nonlinear Farkas Minkowski condition. |
| title | Mangasarian-Fromovitz-type constraint qualification and optimality conditions for smooth infinite programming problems |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2412.19642 |