dc.creator | Fernández León, Aurora | es |
dc.creator | Nicolae, Adriana | es |
dc.date.accessioned | 2016-07-04T10:33:06Z | |
dc.date.available | 2016-07-04T10:33:06Z | |
dc.date.issued | 2014 | |
dc.identifier.citation | Fernández León, A. y Nicolae, A. (2014). Best proximity pair results for relatively nonexpansive mappings in geodesic spaces. Numerical functional analysis and optimization, 35 (11), 1399-1418. | |
dc.identifier.issn | 0163-0563 | es |
dc.identifier.issn | ISSN-e 1532-2467 | es |
dc.identifier.uri | http://hdl.handle.net/11441/43080 | |
dc.description.abstract | Given A and B two nonempty subsets in a metric space, a mapping T : A ∪ B → A ∪ B is
relatively nonexpansive if d(T x, T y) ≤ d(x, y) for every x ∈ A, y ∈ B. A best proximity point
for such a mapping is a point x ∈ A ∪ B such that d(x, T x) = dist(A,B). In this work, we
extend the results given in [A.A. Eldred, W.A. Kirk, P. Veeramani, Proximal normal structure
and relatively nonexpansive mappings, Studia Math. 171, 283–293 (2005)] for relatively nonexpansive
mappings in Banach spaces to more general metric spaces. Namely, we give existence
results of best proximity points for cyclic and noncyclic relatively nonexpansive mappings in the
context of Busemann convex reflexive metric spaces. Moreover, particular results are proved in
the setting of CAT(0) and uniformly convex geodesic spaces. Finally, we show that proximal
normal structure is a sufficient but not necessary condition for the existence in A × B of a pair
of best proximity points. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Marcel. Dekker | es |
dc.relation.ispartof | Numerical functional analysis and optimization, 35 (11), 1399-1418. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Relatively nonexpansive mapping | es |
dc.subject | Best proximity pair | es |
dc.subject | Best proximity point | es |
dc.subject | Proximal normal structure | es |
dc.subject | Busemann convexity | es |
dc.title | Best proximity pair results for relatively nonexpansive mappings in geodesic spaces | 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 Didáctica de las Matemáticas | es |
dc.relation.publisherversion | http://dx.doi.org/10.1080/01630563.2014.895762 | |
dc.identifier.doi | 10.1080/01630563.2014.895762 | |
dc.journaltitle | Numerical functional analysis and optimization | es |
dc.publication.volumen | 35 | es |
dc.publication.issue | 11 | es |
dc.publication.initialPage | 1399 | es |
dc.publication.endPage | 1418 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/43080 | |