A set-valued Lagrange theorem based on a process for convex vector programming
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http://hdl.handle.net/10045/97730
Título: | A set-valued Lagrange theorem based on a process for convex vector programming |
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Autor/es: | García-Castaño, Fernando | Melguizo Padial, Miguel Ángel |
Grupo/s de investigación o GITE: | Sistémica, Cibernética y Optimización (SCO) |
Centro, Departamento o Servicio: | Universidad de Alicante. Departamento de Matemática Aplicada |
Palabras clave: | Lagrange multiplier | Convex vector optimization | Process | Optimality conditions |
Área/s de conocimiento: | Matemática Aplicada |
Fecha de publicación: | 21-may-2019 |
Editor: | Taylor & Francis |
Cita bibliográfica: | Optimization. 2019, 68(11): 2223-2241. doi:10.1080/02331934.2019.1616731 |
Resumen: | In this paper, we present a new set-valued Lagrange multiplier theorem for constrained convex set-valued optimization problems. We introduce the novel concept of Lagrange process. This concept is a natural extension of the classical concept of Lagrange multiplier where the conventional notion of linear continuous operator is replaced by the concept of closed convex process, its set-valued analogue. The behaviour of this new Lagrange multiplier based on a process is shown to be particularly appropriate for some types of proper minimal points and, in general, when it has a bounded base. |
Patrocinador/es: | The authors have been supported by project MTM2017-86182-P (AEI, Spain and ERDF/FEDER, EU). The author Fernando García-Castaño has also been supported by MINECO and FEDER (MTM2014-54182). |
URI: | http://hdl.handle.net/10045/97730 |
ISSN: | 0233-1934 (Print) | 1029-4945 (Online) |
DOI: | 10.1080/02331934.2019.1616731 |
Idioma: | eng |
Tipo: | info:eu-repo/semantics/article |
Derechos: | © 2019 Informa UK Limited, trading as Taylor & Francis Group |
Revisión científica: | si |
Versión del editor: | https://doi.org/10.1080/02331934.2019.1616731 |
Aparece en las colecciones: | INV - SYC - Artículos de Revistas INV - GAM - Artículos de Revistas |
Archivos en este ítem:
Archivo | Descripción | Tamaño | Formato | |
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2019_Garcia_Melguizo_Optimization_final.pdf | Versión final (acceso restringido) | 1,7 MB | Adobe PDF | Abrir Solicitar una copia |
2019_Garcia_Melguizo_Optimization_preprint.pdf | Preprint (acceso abierto) | 286,86 kB | Adobe PDF | Abrir Vista previa |
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