Local convergence of deformed Halley method in Banach space under Holder continuity conditions

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dc.contributor.authorArgyros, I.K.
dc.contributor.authorGeorge, S.
dc.date.accessioned2026-02-05T09:33:41Z
dc.date.issued2015
dc.description.abstractWe present a local convergence analysis for deformed Halley method in order to approximate a solution of a nonlinear equation in a Banach space setting. Our methods include the Halley and other high order methods under hypotheses up to the first Fréchet-derivative in contrast to earlier studies using hypotheses up to the second or third Fréchet-derivative. The convergence ball and error estimates are given for these methods. Numerical examples are also provided in this study. © 2015, International Scientific Research Publications. All rights reserved.
dc.identifier.citationJournal of Nonlinear Science and Applications, 2015, 8, 3, pp. 246-254
dc.identifier.issn20081898
dc.identifier.urihttps://doi.org/10.22436/jnsa.008.03.09
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/26254
dc.publisherInternational Scientific Research Publications editorial-office@tjnsa.com
dc.subjectBanach space
dc.subjectChebyshev method
dc.subjectConvergence ball
dc.subjectLocal convergence
dc.titleLocal convergence of deformed Halley method in Banach space under Holder continuity conditions

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