Local convergence of deformed Euler-Halley-type methods in Banach space under weak conditions

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dc.contributor.authorArgyros, I.K.
dc.contributor.authorGeorge, S.
dc.date.accessioned2026-02-05T09:32:21Z
dc.date.issued2017
dc.description.abstractWe present a unified local convergence analysis for deformed Euler-Halley-type methods in order to approximate a solution of a nonlinear equation in a Banach space setting. Our methods include the Euler, Halley and other high order methods. The convergence ball and error estimates are given for these methods under hypotheses up to the first Fréchet derivative in contrast to earlier studies using hypotheses up to the second Fréchet derivative. Numerical examples are also provided in this study. © 2017 World Scientific Publishing Company.
dc.identifier.citationAsian-European Journal of Mathematics, 2017, 10, 2, pp. -
dc.identifier.issn17935571
dc.identifier.urihttps://doi.org/10.1142/S1793557117500863
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/25621
dc.publisherWorld Scientific Publishing Co. Pte Ltd wspc@wspc.com.sg
dc.subjectBanach space
dc.subjectChebyshev-Halley-type methods
dc.subjectconvergence ball
dc.subjectlocal convergence
dc.titleLocal convergence of deformed Euler-Halley-type methods in Banach space under weak conditions

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