New Farkas-Type Results for Vector-Valued Functions: A Non-abstract Approach

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10045/81528
Información del item - Informació de l'item - Item information
Título: New Farkas-Type Results for Vector-Valued Functions: A Non-abstract Approach
Autor/es: Dinh, Nguyen | Goberna, Miguel A. | Long, Dang H. | López Cerdá, Marco A.
Grupo/s de investigación o GITE: Laboratorio de Optimización (LOPT)
Centro, Departamento o Servicio: Universidad de Alicante. Departamento de Matemáticas
Palabras clave: Farkas-type results | Vector-valued functions | Qualification conditions
Área/s de conocimiento: Estadística e Investigación Operativa
Fecha de publicación: 1-ago-2018
Editor: Springer US
Cita bibliográfica: Journal of Optimization Theory and Applications. 2018. doi:10.1007/s10957-018-1352-z
Resumen: This paper provides new Farkas-type results characterizing the inclusion of a given set, called contained set, into a second given set, called container set, both of them are subsets of some locally convex space, called decision space. The contained and the container sets are described here by means of vector functions from the decision space to other two locally convex spaces which are equipped with the partial ordering associated with given convex cones. These new Farkas lemmas are obtained via the complete characterization of the conic epigraphs of certain conjugate mappings which constitute the core of our approach. In contrast with a previous paper of three of the authors (Dinh et al. in J Optim Theory Appl 173:357–390, 2017), the aimed characterizations of the containment are expressed here in terms of the data.
Patrocinador/es: This research was supported by the National Foundation for Science & Technology Development (NAFOSTED) of Vietnam, Project 101.01-2015.27, Generalizations of Farkas lemma with applications to optimization, by the Ministry of Economy and Competitiveness of Spain and the European Regional Development Fund (ERDF) of the European Commission, Project MTM2014-59179-C2-1-P, and by the Australian Research Council, Project DP160100854.
URI: http://hdl.handle.net/10045/81528
ISSN: 0022-3239 (Print) | 1573-2878 (Online)
DOI: 10.1007/s10957-018-1352-z
Idioma: eng
Tipo: info:eu-repo/semantics/article
Derechos: © Springer Science+Business Media, LLC, part of Springer Nature 2018
Revisión científica: si
Versión del editor: https://doi.org/10.1007/s10957-018-1352-z
Aparece en las colecciones:INV - LOPT - Artículos de Revistas

Archivos en este ítem:
Archivos en este ítem:
Archivo Descripción TamañoFormato 
Thumbnail2018_Dinh_etal_JOptimTheoryAppl_final.pdfVersión final (acceso restringido)591,63 kBAdobe PDFAbrir    Solicitar una copia
Thumbnail2018_Dinh_etal_JOptimTheoryAppl_preprint.pdfPreprint (acceso abierto)1,2 MBAdobe PDFAbrir Vista previa


Todos los documentos en RUA están protegidos por derechos de autor. Algunos derechos reservados.