Local convergence of a uniparametric halley-type method in banach space free of second derivative

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dc.contributor.authorArgyros, I.K.
dc.contributor.authorGeorge, S.
dc.contributor.authorMohapatra, R.N.
dc.date.accessioned2026-02-05T09:33:53Z
dc.date.issued2015
dc.description.abstractWe present a local convergence analysis of a uniparametric Halley-type method 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 Fréchet-derivative of the operator involved. Earlier studies use hypotheses up to the third Fréchet-derivative [26]. Numerical examples are also provided in this study.
dc.identifier.citationAdvances in Nonlinear Variational Inequalities, 2015, 18, 2, pp. 48-57
dc.identifier.issn1092910X
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/26350
dc.publisherInternational Publications internationalpubls@yahoo.com
dc.subjectBanach space
dc.subjectFréchet-derivative
dc.subjectJarratt-type methods
dc.subjectLocal convergence
dc.titleLocal convergence of a uniparametric halley-type method in banach space free of second derivative

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