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dc.creatorDomínguez Benavides, Tomás 
dc.creatorGarcía Falset, Jesús 
dc.creatorJapón Pineda, María de los Ángeles 
dc.date.accessioned2015-01-13T17:42:37Z
dc.date.available2015-01-13T17:42:37Z
dc.date.issued1998
dc.identifier.citationDomínguez Benavides, T., García Falset, J. y Japón Pineda, M.d.l.Á. (1998). The τ-fixed point property for nonexpansive mappings. Abstract and Applied Analysis, 3 (3-4), 343-362.
dc.identifier.issn1085-3375es
dc.identifier.urihttp://hdl.handle.net/11441/17459
dc.description.abstractLet X be a Banach space and τ a topology on X. We say that X has the τ-fixed point property (τ-FPP) if every nonexpansive mapping T defined from a bounded convex τ-sequentially compact subset C of X into C has a fixed point. When τ satisfies certain regularity conditions, we show that normal structure assures the τ-FPP and Goebel-Karlovitz’s Lemma still holds. We use this results to study two geometrical properties which imply the τ-FPP: the τ-GGLD and M(τ) properties. We show several examples of spaces and topologies where these results can be applied, specially the topology of convergence locally in measure in Lebesgue spaces. In the second part we study the preservence of the τ-FPP under isomorphisms. In order to do that we study some geometric constants for a Banach space X such that the τ-FPP is shared by any isomorphic Banach space Y satisfying that the Banach-Mazur distance between X and Y is less than some of these constants.es
dc.language.isoenges
dc.relation.ispartofAbstract and Applied Analysis, 3 (3-4), 343-362.es
dc.rightsAtribución-NoComercial-SinDerivadas 4.0 España*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.titleThe τ-fixed point property for nonexpansive mappingses
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Análisis Matemáticoes
dc.journaltitleAbstract and Applied Analysises
dc.publication.volumen3es
dc.publication.issue3-4es
dc.publication.initialPage343es
dc.publication.endPage362es
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/17459

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