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dc.contributor.authorSharma, Debasisen_US
dc.contributor.authorKumar Parhi, Sanjayaen_US
dc.date.accessioned2021-07-09T12:49:19Z
dc.date.available2021-07-09T12:49:19Z
dc.date.issued2021
dc.identifier.citationSharma, D. & Kumar Parhi, S. (2021). On the local convergence of Weerakoon's method under Hölder continuity condition in Banach spaces. TWMS Journal of Applied and Engineering Mathematics, 11(3), 709-716.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/3184
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/112-vol11-no3/730
dc.description.abstractIn this manuscript, the study of local convergence analysis for the cubically convergent Weerakoon’s method using Hölder continuity condition is presented to solve nonlinear equations in Banach spaces. Hölder continuity condition on the first derivative is assumed to extend the applicability of the method on such problems for which Lipschitz condition fails. This convergence analysis generalises the local convergence with Lipschitz continuity condition. A theorem showing existence and uniqueness of the solution with the error bounds is established. To verify our theoretical findings some numerical examples like Hammerstein integral equation and a system of nonlinear equations are solved.en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal of Applied and Engineering Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectBanach spaceen_US
dc.subjectHölder continuity conditionen_US
dc.subjectIterative methodsen_US
dc.subjectLocal convergenceen_US
dc.titleOn the local convergence of Weerakoon's method under Hölder continuity condition in Banach spacesen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume11
dc.identifier.issue3
dc.identifier.startpage709
dc.identifier.endpage716
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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