dc.creator | Li, Chong | es |
dc.creator | Fang, Donghui | es |
dc.creator | López Acedo, Genaro | es |
dc.creator | López Cerdá, Marco Antonio | es |
dc.date.accessioned | 2016-06-03T06:12:04Z | |
dc.date.available | 2016-06-03T06:12:04Z | |
dc.date.issued | 2009 | |
dc.identifier.citation | Li, C., Fang, D., López Acedo, G. y López Cerdá, M.A. (2009). Stable and total Fenchel duality for convex optimization problems in locally convex spaces. SIAM journal on optimization, 20 (2), 1032-1051. | |
dc.identifier.issn | 1052-6234 | es |
dc.identifier.issn | 1095-7189 | es |
dc.identifier.uri | http://hdl.handle.net/11441/41816 | |
dc.description.abstract | We consider the optimization problem (PA) infx∈X{f(x) + g(Ax)} where f and g are proper convex functions defined on locally convex Hausdorff topological vector spaces X and Y, respectively, and A is a linear operator from X to Y . By using the properties of the epigraph of the conjugated functions, some sufficient and necessary conditions for the strong Fenchel duality and the strong converse Fenchel duality of (PA) are provided. Sufficient and necessary conditions for the stable Fenchel duality and for the total Fenchel duality are also derived. | es |
dc.description.sponsorship | National Natural Science Foundation of China | es |
dc.description.sponsorship | Dirección General de Enseñanza Superior | es |
dc.description.sponsorship | Ministerio de Ciencia e Innovación | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Society for Industrial and Applied Mathematics | es |
dc.relation.ispartof | SIAM journal on optimization, 20 (2), 1032-1051. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | stable and total Fenchel duality | es |
dc.subject | converse duality | es |
dc.subject | convex optimization in locally convex spaces | es |
dc.title | Stable and total Fenchel duality for convex optimization problems in locally convex spaces | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.relation.projectID | 10671175 | es |
dc.relation.projectID | 10731060 | es |
dc.relation.projectID | SAB 2006-0195 | es |
dc.relation.projectID | MTM-2006-13997-C02- 01 | es |
dc.relation.projectID | MTM2008-06695-C03-01/MTM | es |
dc.identifier.doi | http://dx.doi.org/10.1137/080734352 | es |
idus.format.extent | 20 p. | es |
dc.journaltitle | SIAM journal on optimization | es |
dc.publication.volumen | 20 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | 1032 | es |
dc.publication.endPage | 1051 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/41816 | |