Optimality and duality on Riemannian manifolds

Ruiz Garzón, Gabriel; Osuna Gómez, Rafaela; Rufián Lizana, Antonio; Hernández Jiménez, Beatriz

doi:10.11650/tjm/180501

Artículo

dc.creator	Ruiz Garzón, Gabriel	es
dc.creator	Osuna Gómez, Rafaela	es
dc.creator	Rufián Lizana, Antonio	es
dc.creator	Hernández Jiménez, Beatriz	es
dc.date.accessioned	2018-10-11T06:41:55Z
dc.date.available	2018-10-11T06:41:55Z
dc.date.issued	2018-10
dc.identifier.citation	Ruiz Garzón, G., Osuna Gómez, R., Rufián Lizana, A. y Hernández Jiménez, B. (2018). Optimality and duality on Riemannian manifolds. Taiwanese Journal of Mathematics, 22 (5), 1245-1259.
dc.identifier.issn	1027-5487	es
dc.identifier.issn	2224-6851	es
dc.identifier.uri	https://hdl.handle.net/11441/79327
dc.description.abstract	Our goal in this paper is to translate results on function classes that are characterized by the property that all the Karush-Kuhn-Tucker points are efficient solutions, obtained in Euclidean spaces to Riemannian manifolds. We give two new characterizations, one for the scalar case and another for the vectorial case, unknown in this subject literature. We also obtain duality results and give examples to illustrate it.	es
dc.description.sponsorship	Ministerio de Economía y Competitividad	es
dc.format	application/pdf	es
dc.language.iso	eng	es
dc.publisher	Mathematical Society of the Republic of China	es
dc.relation.ispartof	Taiwanese Journal of Mathematics, 22 (5), 1245-1259.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Generalized convexity	es
dc.subject	Riemannian manifolds	es
dc.subject	Efficient solutions	es
dc.subject	Duality	es
dc.title	Optimality and duality on Riemannian manifolds	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 Estadística e Investigación Operativa	es
dc.relation.projectID	MTM2015-66185-P	es
dc.relation.publisherversion	https://projecteuclid.org/download/pdf_1/euclid.twjm/1526889714	es
dc.identifier.doi	10.11650/tjm/180501	es
dc.contributor.group	Universidad de Sevilla. FQM153: Estadística e Investigación Operativa	es
idus.format.extent	15 p.	es
dc.journaltitle	Taiwanese Journal of Mathematics	es
dc.publication.volumen	22	es
dc.publication.issue	5	es
dc.publication.initialPage	1245	es
dc.publication.endPage	1259	es
dc.contributor.funder	Ministerio de Economía y Competitividad (MINECO). España

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