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- W2029455762 abstract "The paper is concerned with the application of Kantorovich (quasi-) majorants to the study of the convergence of Newton-Kantorovich approximations of solutions of nonlinear operator equations in Banach spaces. The derivative of the nonlinear operator is supposed to satisfy only a rather weak continuity condition. By means of an auxiliary scalar equation, we obtain convergence results for the Newton- Kantorovich approximations, as well as various new error estimates. The abstract results are illustrated by applications to nonlinear integral equations of Uryson type in the spaces C and ." @default.
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- W2029455762 date "1997-01-01" @default.
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- W2029455762 title "New results on newton-kantorovich approximations with applications to nonlinear integral equations" @default.
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- W2029455762 doi "https://doi.org/10.1080/01630569708816744" @default.
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