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Monotone and accretive vector fields on Riemannian manifolds

dc.creatorWang, Jinhuaes
dc.creatorLópez Acedo, Genaroes
dc.creatorMartín Márquez, Victoriaes
dc.creatorLi, Chonges
dc.date.accessioned2016-10-27T11:15:04Z
dc.date.available2016-10-27T11:15:04Z
dc.date.issued2010-09
dc.identifier.citationWang, 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.issn0022-3239es
dc.identifier.issn1573-2878es
dc.identifier.urihttp://hdl.handle.net/11441/48265
dc.description.abstractThe 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.sponsorshipMinisterio de Ciencia e Innovaciónes
dc.description.sponsorshipJunta de Andalucíaes
dc.description.sponsorshipNational Natural Science Foundations of Chinaes
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherSpringeres
dc.relation.ispartofJournal of Optimization Theory and Applications, 146 (3), 691-708.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectHadamard manifoldes
dc.subjectMonotone vector fieldes
dc.subjectAccretive vector fieldes
dc.subjectSingularityes
dc.subjectFixed pointes
dc.subjectIterative algorithmes
dc.subjectConvex functiones
dc.subjectMinimization problemes
dc.titleMonotone and accretive vector fields on Riemannian manifoldses
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/submittedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Análisis Matemáticoes
dc.relation.projectIDMTM2009-110696-C02-01es
dc.relation.projectIDFQM-127es
dc.relation.projectID10731060es
dc.relation.publisherversionhttp://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=ccda239b8fa168eddf68e0a505211cff11f35c337a59d05d3ad570082aa2c112es
dc.identifier.doi10.1007/s10957-010-9688-zes
dc.contributor.groupUniversidad de Sevilla. FQM127: Análisis Funcional no Lineales
idus.format.extent31 p.es
dc.journaltitleJournal of Optimization Theory and Applicationses
dc.publication.volumen146es
dc.publication.issue3es
dc.publication.initialPage691es
dc.publication.endPage708es
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/48265

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