Research and Reports on Mathematics.

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Extending the Applicability of an Ulm-Newton-like Method under Generalized Conditions in Banach Space

The aim of this paper is to extend the applicability of an Ulm-Newtonlike method for approximating a solution of a nonlinear equation in a Ba-nach space setting. The su cient local convergence conditions are weaker than in earlier works leading to a larger radius of convergence and more precise error estimates on the distances involved. Numerical examples are also provided in this study. AMS Subject Classi cation: 65H10, 65G99, 65J15,49M15.

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