A Constant Rank-type Constraint Qualification for Multi-Objective Continuous-Time Nonlinear Programming

Autores

  • Moisés R. C. do Monte
  • Valeriano A. de Oliveira

DOI:

https://doi.org/10.5540/03.2023.010.01.0008

Palavras-chave:

Continuous-time programming, Efficient solutions, Second order conditions, Constraint qualifications, Constant rank condition

Resumo

The paper addresses multi-objective continuous-time nonlinear programming problems with equality and inequality constraints. It is obtained first and second-order necessary optimality conditions through a constant rank-type constraint qualification.

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Biografia do Autor

Moisés R. C. do Monte

Universidade Federal de Uberlândia (UFU), Instituto de Ciências Exatas e Naturais do Pontal, Ituiutaba, MG.

Valeriano A. de Oliveira

Universidade Estadual Paulista (Unesp), Instituto de Biociências, Letras e Ciências Exatas, Departamento de Matemática, Câmpus de São José do Rio Preto, SP.

Referências

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M. R. C. Monte and V. A. de Oliveira. A Constant rank constraint qualification in continuous-time nonlinear programming”. In: Set-Valued Var. Anal. 29.1 (2021), pp. 61–81. doi: https://doi.org/10.1007/s11228-020-00537-1.

M. R. C. Monte and V. A. de Oliveira. “Necessary conditions for continuous-time optimization under the Mangasarian-Fromovitz constraint qualification”. In: Optimization 69.4 (2020), pp. 777–798. doi: https://doi.org/10.1080/02331934.2019.1653294.

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V. A. de Oliveira. “Vector continuous-time programming without differentiability”. In: J. Comput. Appl. Math. 234.3 (2010), pp. 924–933. doi: https://doi.org/10.1016/j. cam.2010.02.012.

V. A. de Oliveira and M. A. Rojas-Medar. “Continuous-time multiobjective optimization problems via invexity”. In: Abstr. Appl. Anal. 2007.1 (2007). Art. ID 61296, 11 pp. doi: https://doi.org/10.1155/2007/61296.

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G. Ruiz-Garzón et al. “Optimality in continuous-time multiobjective optimization and vector variational-like inequalities”. In: TOP 23.1 (2015), pp. 198–219. doi: https://doi.org/10.1007/s11750-014-0334-z.

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Publicado

2023-12-18

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