Optimality Conditions in DC-Constrained Mathematical Programming Problems
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| Título: | Optimality Conditions in DC-Constrained Mathematical Programming Problems |
|---|---|
| Autor/es: | Correa, Rafael | López Cerdá, Marco A. | Pérez-Aros, Pedro |
| Grupo/s de investigación o GITE: | Laboratorio de Optimización (LOPT) |
| Centro, Departamento o Servicio: | Universidad de Alicante. Departamento de Matemáticas |
| Palabras clave: | DC functions | DC-constrained programming | Conic programming | Infinite programming | Stochastic programming | Semi-definite programming | Supremum function |
| Fecha de publicación: | 7-jul-2023 |
| Editor: | Springer Nature |
| Cita bibliográfica: | Journal of Optimization Theory and Applications. 2023, 198: 1191-1225. https://doi.org/10.1007/s10957-023-02260-x |
| Resumen: | This paper provides necessary and sufficient optimality conditions for abstract-constrained mathematical programming problems in locally convex spaces under new qualification conditions. Our approach exploits the geometrical properties of certain mappings, in particular their structure as difference of convex functions, and uses techniques of generalized differentiation (subdifferential and coderivative). It turns out that these tools can be used fruitfully out of the scope of Asplund spaces. Applications to infinite, stochastic and semi-definite programming are developed in separate sections. |
| Patrocinador/es: | Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. The first author was partially supported by ANID Grant Fondecyt Regular 1190110 and Centro de Modelamiento Matemático (CMM), ACE210010 and FB210005, BASAL funds for centers of excellence from ANID-Chile. The second author has been partially supported by Grants MTM2014-59179-C2-(1-2)-P from MINECO/MICINN, Spain, and FEDER, European Union, and by the Australian Research Council, Project DP180100602. The third author was partially supported by ANID Grants Fondecyt Regular 1190110 and Fondecyt Regular 1200283 and Centro de Modelamiento Matemático (CMM), ACE210010 and FB210005, BASAL funds for centers of excellence from ANID-Chile. |
| URI: | http://hdl.handle.net/10045/136008 |
| ISSN: | 0022-3239 (Print) | 1573-2878 (Online) |
| DOI: | 10.1007/s10957-023-02260-x |
| Idioma: | eng |
| Tipo: | info:eu-repo/semantics/article |
| Derechos: | © The Author(s) 2023. Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. |
| Revisión científica: | si |
| Versión del editor: | https://doi.org/10.1007/s10957-023-02260-x |
| Aparece en las colecciones: | INV - LOPT - Artículos de Revistas |
Archivos en este ítem:
| Archivo | Descripción | Tamaño | Formato | |
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 Correa_etal_2023_JOptimTheoryAppl.pdf | 540,16 kB | Adobe PDF | Abrir Vista previa | |
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