On the "terra incognita" for the newton-kantrovich method with applications

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dc.contributor.authorArgyros, I.K.
dc.contributor.authorCho, Y.J.
dc.contributor.authorGeorge, S.
dc.date.accessioned2020-03-31T08:39:05Z
dc.date.available2020-03-31T08:39:05Z
dc.date.issued2014
dc.description.abstractIn this paper, we use Newton's method to approximate a locally unique solution of an equation in Banach spaces and introduce recurrent functions to provide a weaker semilocal convergence analysis for Newton's method than before [1]-[13], in some interesting cases, provided that the Fr chet-derivative of the operator involved is p-H lder continuous (p ?(0, 1]). Numerical examples involving two boundary value problems are also provided. 2014 Korean Mathematical Society.en_US
dc.identifier.citationJournal of the Korean Mathematical Society, 2014, Vol.51, 2, pp.251-266en_US
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/12370
dc.titleOn the "terra incognita" for the newton-kantrovich method with applicationsen_US
dc.typeArticleen_US

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