An improved semi-local convergence analysis for a three point method of order 1.839 in banach space

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dc.contributor.authorArgyros, I.K.
dc.contributor.authorPadikkal, P.
dc.contributor.authorGeorge, S.
dc.date.accessioned2026-02-05T09:33:53Z
dc.date.issued2015
dc.description.abstractWe present a new semi-local convergence analysis for a three point method of order 1.839 in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. The advantages of the new approach over earlier ones such as [18] are: weaker and easier to verify convergence conditions. Moreover the radius of convergence is given in an explicit form. Furthermore, uniqueness results are also presented for the first time as far as we know in this paper. Finally, numerical example illustrating the theoretical results is given.
dc.identifier.citationAdvances in Nonlinear Variational Inequalities, 2015, 18, 1, pp. 23-32
dc.identifier.issn1092910X
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/26351
dc.publisherInternational Publications internationalpubls@yahoo.com
dc.subjectBanach space
dc.subjectDivided difference of order one-two
dc.subjectRadius of convergance
dc.subjectSemi-local convergance
dc.subjectThree point method
dc.titleAn improved semi-local convergence analysis for a three point method of order 1.839 in banach space

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