Stationarity and regularity of infinite collections of sets. Applications to infinitely constrained optimization
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Título: | Stationarity and regularity of infinite collections of sets. Applications to infinitely constrained optimization |
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Autor/es: | Kruger, Alexander Y. | López Cerdá, Marco A. |
Grupo/s de investigación o GITE: | Laboratorio de Optimización (LOPT) |
Centro, Departamento o Servicio: | Universidad de Alicante. Departamento de Estadística e Investigación Operativa |
Palabras clave: | Subdifferential | Normal cone | Optimality | Extremality | Stationarity | Regularity | Extremal principle | Asplund space | Infinitely constrained optimization |
Área/s de conocimiento: | Estadística e Investigación Operativa |
Fecha de publicación: | nov-2012 |
Editor: | Springer |
Cita bibliográfica: | Journal of Optimization Theory and Applications. 2012, 155(2): 390-416. doi:10.1007/s10957-012-0086-6 |
Resumen: | This article continues the investigation of stationarity and regularity properties of infinite collections of sets in a Banach space started in Kruger and López (J. Optim. Theory Appl. 154(2), 2012), and is mainly focused on the application of the stationarity criteria to infinitely constrained optimization problems. We consider several settings of optimization problems which involve (explicitly or implicitly) infinite collections of sets and deduce for them necessary conditions characterizing stationarity in terms of dual space elements—normals and/or subdifferentials. |
Patrocinador/es: | The research was partially supported by the Australian Research Council, Project DP110102011 and by the Spanish MTM2008-06695-C03(01). |
URI: | http://hdl.handle.net/10045/36008 |
ISSN: | 0022-3239 (Print) | 1573-2878 (Online) |
DOI: | 10.1007/s10957-012-0086-6 |
Idioma: | eng |
Tipo: | info:eu-repo/semantics/article |
Derechos: | The original publication is available at www.springerlink.com |
Revisión científica: | si |
Versión del editor: | http://dx.doi.org/10.1007/s10957-012-0086-6 |
Aparece en las colecciones: | INV - LOPT - Artículos de Revistas |
Archivos en este ítem:
Archivo | Descripción | Tamaño | Formato | |
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2012_Kruger_Lopez_JOptimTheoryAppl.pdf | Versión revisada (acceso abierto) | 181,24 kB | Adobe PDF | Abrir Vista previa |
2012_Kruger_Lopez_JOptimTheoryAppl-final.pdf | Versión final (acceso restringido) | 847,76 kB | Adobe PDF | Abrir Solicitar una copia |
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