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• W2316590779 abstract "In 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<TEX>$acute{e}$</TEX>chet-derivative of the operator involved is p-H<TEX>$ddot{o}$</TEX>lder continuous (p<TEX>${in}$</TEX>(0, 1]). Numerical examples involving two boundary value problems are also provided." @default.
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• W2316590779 date "2014-03-01" @default.
• W2316590779 modified "2023-10-01" @default.
• W2316590779 title "ON THE TERRA INCOGNITA FOR THE NEWTON-KANTROVICH METHOD WITH APPLICATIONS" @default.
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• W2316590779 doi "https://doi.org/10.4134/jkms.2014.51.2.251" @default.
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