Improved local convergence analysis for a three point method of convergence order 1.839…

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dc.contributor.authorArgyros, I.K.
dc.contributor.authorCho, Y.J.
dc.contributor.authorGeorge, S.
dc.date.accessioned2026-02-05T09:30:38Z
dc.date.issued2019
dc.description.abstractIn this paper, we present a local convergence analysis of a three point method with convergence order 1.839… for approximating a locally unique solution of a nonlinear operator equation in setting of Banach spaces. Using weaker hypotheses than in earlier studies, we obtain: larger radius of convergence and more precise error estimates on the distances involved. Finally, numerical examples are used to show the advantages of the main results over earlier results. © 2019 Korean Mathematical Society.
dc.identifier.citationBulletin of the Korean Mathematical Society, 2019, 56, 3, pp. 621-629
dc.identifier.issn10158634
dc.identifier.urihttps://doi.org/10.4134/BKMS.b180429
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/24797
dc.publisherKorean Mathematical Society kms@kms.or.kr
dc.subjectBanach space
dc.subjectDivided difference of order one-two
dc.subjectLocal convergence
dc.subjectRadius of convergence
dc.subjectThree point method
dc.titleImproved local convergence analysis for a three point method of convergence order 1.839…

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