Local convergence of a novel eighth order method under hypotheses only on the first derivative

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dc.contributor.authorArgyros, I.K.
dc.contributor.authorGeorge, S.
dc.contributor.authorErappa, S.M.
dc.date.accessioned2026-02-05T09:30:32Z
dc.date.issued2019
dc.description.abstractWe expand the applicability of eighth order-iterative method stud- ied by Jaiswal in order to approximate a locally unique solution of an equation in Banach space setting. We provide a local convergence analysis using only hypotheses on the first Frechet-derivative. Moreover, we provide computable convergence radii, error bounds, and uniqueness results. Numerical examples computing the radii of the convergence balls as well as examples where earlier results cannot apply to solve equations but our results can apply are also given in this study. © 2019 Khayyam Journal of Mathematics.
dc.identifier.citationKhayyam Journal of Mathematics, 2019, 5, 2, pp. 96-107
dc.identifier.urihttps://doi.org/10.22034/kjm.2019.88082
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/24780
dc.publisherTusi Mathematical Research Group (TMRG) moslehian@memeber.ams.org
dc.subjectBall convergence
dc.subjectBanach space
dc.subjectEighth order of convergence
dc.subjectFrechet-derivative
dc.titleLocal convergence of a novel eighth order method under hypotheses only on the first derivative

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