Local convergence for a family of sixth order Chebyshev-Halley -type methods in Banach space under weak conditions

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dc.contributor.authorArgyros, I.K.
dc.contributor.authorGeorge, S.
dc.date.accessioned2026-02-05T09:31:43Z
dc.date.issued2018
dc.description.abstractWe present a local convergence analysis for a family of super- Halley methods of high convergence order in order to approximate a solution of a nonlinear equation in a Banach space. Our sufficient convergence conditions involve only hypotheses on the first and second Fréchet-derivative of the operator involved. Earlier studies use hypotheses up to the third Fréchet derivative. Numerical examples are also provided in this study. © 2017 Khayyam Journal of Mathematics.
dc.identifier.citationKhayyam Journal of Mathematics, 2018, 4, 1, pp. 1-12
dc.identifier.urihttps://doi.org/10.22034/kjm.2017.51873
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/25324
dc.publisherTusi Mathematical Research Group (TMRG) moslehian@memeber.ams.org
dc.subjectBanach space
dc.subjectChebyshev-Halley method
dc.subjectFréchet-derivative
dc.subjectLocal convergence
dc.subjectRadius of convergence
dc.titleLocal convergence for a family of sixth order Chebyshev-Halley -type methods in Banach space under weak conditions

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