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On the local convergence of a midpoint method in banach spaces under a gamma-type condition

dc.creatorArgyros, Ioannis K.
dc.date2009-08-01
dc.date.accessioned2019-11-14T11:59:31Z
dc.date.available2019-11-14T11:59:31Z
dc.identifierhttps://www.revistaproyecciones.cl/article/view/1375
dc.identifier10.4067/S0716-09172009000200005
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/113129
dc.descriptionIn this study we are concerned with the problem of approximating a locally unique solution of an operator equation in a Banach space setting using the midpoint method, introduced by us in [5], [6]. Here, we use gamma-type condition to provide a local convergence analysis. Our results compare favorably with the relevant ones in [9], [11], [12]-[14]- In particular our radius of convergence is larger. Numerical examples are also provided.es-ES
dc.formatapplication/pdf
dc.languagespa
dc.publisherUniversidad Católica del Norte.es-ES
dc.relationhttps://www.revistaproyecciones.cl/article/view/1375/1179
dc.rightsDerechos de autor 2009 Proyecciones. Journal of Mathematicses-ES
dc.sourceProyecciones. Journal of Mathematics; Vol 28 No 2 (2009); 155-167en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 28 Núm. 2 (2009); 155-167es-ES
dc.source0717-6279
dc.source0716-0917
dc.subjectMidpoint methodes-ES
dc.subjectBanach spacees-ES
dc.subjectGamma—type conditiones-ES
dc.subjectRadius of convergencees-ES
dc.subjectLocal convergencees-ES
dc.subjectFréchet—derivative.es-ES
dc.titleOn the local convergence of a midpoint method in banach spaces under a gamma-type conditiones-ES
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typeArtículo revisado por pareses-ES


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