dc.creator | Wang, Jinhua | es |
dc.creator | López Acedo, Genaro | es |
dc.creator | Martín Márquez, Victoria | es |
dc.creator | Li, Chong | es |
dc.date.accessioned | 2016-10-27T11:15:04Z | |
dc.date.available | 2016-10-27T11:15:04Z | |
dc.date.issued | 2010-09 | |
dc.identifier.citation | Wang, J., López Acedo, G., Martín Márquez, V. y Li, C. (2010). Monotone and accretive vector fields on Riemannian manifolds. Journal of Optimization Theory and Applications, 146 (3), 691-708. | |
dc.identifier.issn | 0022-3239 | es |
dc.identifier.issn | 1573-2878 | es |
dc.identifier.uri | http://hdl.handle.net/11441/48265 | |
dc.description.abstract | The relationship between monotonicity and accretivity on Riemannian manifolds is studied in this paper and both concepts are proved to be equivalent in Hadamard manifolds. As a consequence an iterative method is obtained for approximating singularities of Lipschitz continuous, strongly monotone mappings. We also establish the equivalence between the strong convexity of convex functions and the strong monotonicity of its subdifferentials on Riemannian manifolds. These results are then applied to solve the minimization problem of convex functions on Riemannian manifolds. | es |
dc.description.sponsorship | Ministerio de Ciencia e Innovación | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.description.sponsorship | National Natural Science Foundations of China | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Journal of Optimization Theory and Applications, 146 (3), 691-708. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Hadamard manifold | es |
dc.subject | Monotone vector field | es |
dc.subject | Accretive vector field | es |
dc.subject | Singularity | es |
dc.subject | Fixed point | es |
dc.subject | Iterative algorithm | es |
dc.subject | Convex function | es |
dc.subject | Minimization problem | es |
dc.title | Monotone and accretive vector fields 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/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.relation.projectID | MTM2009-110696-C02-01 | es |
dc.relation.projectID | FQM-127 | es |
dc.relation.projectID | 10731060 | es |
dc.relation.publisherversion | http://download.springer.com/static/pdf/969/art%253A10.1007%252Fs10957-010-9688-z.pdf?originUrl=http%3A%2F%2Flink.springer.com%2Farticle%2F10.1007%2Fs10957-010-9688-z&token2=exp=1477567885~acl=%2Fstatic%2Fpdf%2F969%2Fart%25253A10.1007%25252Fs10957-010-9688-z.pdf%3ForiginUrl%3Dhttp%253A%252F%252Flink.springer.com%252Farticle%252F10.1007%252Fs10957-010-9688-z*~hmac=ccda239b8fa168eddf68e0a505211cff11f35c337a59d05d3ad570082aa2c112 | es |
dc.identifier.doi | 10.1007/s10957-010-9688-z | es |
dc.contributor.group | Universidad de Sevilla. FQM127: Análisis Funcional no Lineal | es |
idus.format.extent | 31 p. | es |
dc.journaltitle | Journal of Optimization Theory and Applications | es |
dc.publication.volumen | 146 | es |
dc.publication.issue | 3 | es |
dc.publication.initialPage | 691 | es |
dc.publication.endPage | 708 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/48265 | |