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dc.contributor.authorDe la Sen Parte, Manuel
dc.contributor.authorKarapinar, E.
dc.date.accessioned2014-01-08T19:41:42Z
dc.date.available2014-01-08T19:41:42Z
dc.date.issued2013
dc.identifier.citationAbstract and Applied Analysis 2013 : (2013) // Article ID 505487es
dc.identifier.issn1085-3375
dc.identifier.urihttp://hdl.handle.net/10810/11183
dc.description.abstractThis paper is devoted to the study of convergence properties of distances between points and the existence and uniqueness of best proximity and fixed points of the so-called semicyclic impulsive self-mappings on the union of a number of nonempty subsets in metric spaces. The convergences of distances between consecutive iterated points are studied in metric spaces, while those associated with convergence to best proximity points are set in uniformly convex Banach spaces which are simultaneously complete metric spaces. The concept of semicyclic self-mappings generalizes the well-known one of cyclic ones in the sense that the iterated sequences built through such mappings are allowed to have images located in the same subset as their pre-image. The self-mappings under study might be in the most general case impulsive in the sense that they are composite mappings consisting of two self-mappings, and one of them is eventually discontinuous. Thus, the developed formalism can be applied to the study of stability of a class of impulsive differential equations and that of their discrete counterparts. Some application examples to impulsive differential equations are also given.es
dc.description.sponsorshipSpanish Government DPI2012-30651, Basque Government IT378-10 SAIOTEK S-PE12UN015, University of Basque Country UFI 2011/07es
dc.language.isoenges
dc.publisherHindawi Publishing Corporationes
dc.rightsinfo:eu-repo/semantics/openAccesses
dc.subjectcomplete metric spaceses
dc.subjectcommon fixed-pointes
dc.subjecttime-delay systemses
dc.subjecttheoremses
dc.subjectstabilityes
dc.subjectexistencees
dc.subjectapproximationes
dc.subjectcontractiones
dc.subjectpaires
dc.titleBest Proximity Points of Generalized Semicyclic Impulsive Self-Mappings: Applications to Impulsive Differential and Difference Equationses
dc.typeinfo:eu-repo/semantics/articlees
dc.rights.holderCopyright © 2013 M. De la Sen and E. Karapinar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.es
dc.relation.publisherversionhttp://www.hindawi.com/journals/aaa/2013/505487/es
dc.identifier.doi10.1155/2013/505487
dc.departamentoesElectricidad y electrónicaes_ES
dc.departamentoeuElektrizitatea eta elektronikaes_ES
dc.subject.categoriaANALYSIS
dc.subject.categoriaMATHEMATICS, APPLIED


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