Around a Farkas type lemma
Por favor, use este identificador para citar o enlazar este ítem:
http://hdl.handle.net/10045/137322
Título: | Around a Farkas type lemma |
---|---|
Autor/es: | Dinh, Nguyen | Goberna, Miguel A. | Volle, Michel |
Grupo/s de investigación o GITE: | Laboratorio de Optimización (LOPT) |
Centro, Departamento o Servicio: | Universidad de Alicante. Departamento de Matemáticas |
Palabras clave: | Convex infinite systems | Farkas lemma | Convex infinite optimization |
Fecha de publicación: | 8-sep-2023 |
Editor: | Taylor & Francis |
Cita bibliográfica: | Optimization. 2023. https://doi.org/10.1080/02331934.2023.2252848 |
Resumen: | The first two authors of this paper asserted in Lemma 4 of ‘New Farkas-type constraint qualifications in convex infinite programming’ (DOI: 10.1051/cocv:2007027) that a given reverse convex inequality is consequence of a given convex system satisfying the Farkas–Minkowski constraint qualification if and only if certain set depending on the data contains a particular point of the vertical axis. This paper identifies a hidden assumption in this reverse Farkas lemma which always holds in its applications to nontrivial optimization problems. Moreover, it shows that the statement remains valid when the Farkas–Minkowski constraint qualification fails by replacing the mentioned set by its closure. This hidden assumption is also characterized in terms of the data. Finally, the paper provides some applications to convex infinite systems and to convex infinite optimization problems. |
URI: | http://hdl.handle.net/10045/137322 |
ISSN: | 0233-1934 (Print) | 1029-4945 (Online) |
DOI: | 10.1080/02331934.2023.2252848 |
Idioma: | eng |
Tipo: | info:eu-repo/semantics/article |
Derechos: | © 2023 Informa UK Limited, trading as Taylor & Francis Group |
Revisión científica: | si |
Versión del editor: | https://doi.org/10.1080/02331934.2023.2252848 |
Aparece en las colecciones: | INV - LOPT - Artículos de Revistas |
Archivos en este ítem:
Archivo | Descripción | Tamaño | Formato | |
---|---|---|---|---|
Dinh_etal_2023_Optimization_final.pdf | Versión final (acceso restringido) | 1,46 MB | Adobe PDF | Abrir Solicitar una copia |
Todos los documentos en RUA están protegidos por derechos de autor. Algunos derechos reservados.