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Applications of proximal calculus to fixed point theory on Riemannian manifolds

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dc.contributor.authorAzagra Rueda, Daniel
dc.contributor.authorFerrera Cuesta, Juan
dc.date.accessioned2023-06-20T09:31:43Z
dc.date.available2023-06-20T09:31:43Z
dc.date.issued2007-07-01
dc.description.abstractWe prove a general form of a fixed point theorem for mappings from a Riemannian manifold into itself which are obtained as perturbations of a given mapping by means of general operations which in particular include the cases of sum (when a Lie group structure is given on the manifold) and composition. In order to prove our main result we develop a theory of proximal calculus in the setting of Riemannian manifolds.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMarie Curie Intra-European Fellowship of the European Community, Human Resources and Mobility Programme
dc.description.sponsorshipBFM
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/14760
dc.identifier.doi10.1016/j.na.2006.04.019
dc.identifier.issn0362-546X
dc.identifier.officialurlhttp://www.sciencedirect.com/science/article/pii/S0362546X06002628
dc.identifier.urihttps://hdl.handle.net/20.500.14352/49816
dc.issue.number1
dc.journal.titleNonlinear Analysis Theory, Methods & Applications
dc.language.isoeng
dc.page.final174
dc.page.initial154
dc.publisherPergamon
dc.relation.projectIDMEIF CT2003-500927
dc.relation.projectID2003-06420.
dc.rights.accessRightsrestricted access
dc.subject.cdu517.988.525
dc.subject.keywordProximal subdifferential
dc.subject.keywordRiemannian manifolds
dc.subject.keywordFixed point theory
dc.subject.ucmAnálisis funcional y teoría de operadores
dc.titleApplications of proximal calculus to fixed point theory on Riemannian manifolds
dc.typejournal article
dc.volume.number67
dspace.entity.typePublication
relation.isAuthorOfPublication6696556b-dc2e-4272-8f5f-fa6a7a2f5344
relation.isAuthorOfPublication1a91d6af-aaeb-4a3e-90ce-4abdf2b90ac3
relation.isAuthorOfPublication.latestForDiscovery6696556b-dc2e-4272-8f5f-fa6a7a2f5344

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