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Convergence analysis for single point Newton-type iterative schemes

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The aim of this article is to present a convergence analysis for single point Newton-type schemes for solving equations with Banach space valued operators. The equations contain a non-differentiable part.… Click to show full abstract

The aim of this article is to present a convergence analysis for single point Newton-type schemes for solving equations with Banach space valued operators. The equations contain a non-differentiable part. Although the convergence conditions are very general, they are weaker than the corresponding ones in earlier works leading to a finer convergence analysis in both the local as well as the semi-local convergence analysis. Therefore, the applicability of these iterative schemes is extended.

Keywords: analysis single; convergence analysis; single point; point newton; convergence

Journal Title: Journal of Applied Mathematics and Computing
Year Published: 2019

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