ON THE CONVERGENCE OF A NEWTON-LIKE METHOD UNDER WEAK CONDITIONS Argyros, Ioannis K.; Ren, Hongmin;
We provide a semilocal convergence analysis for a Newtonlike method under weak conditions in a Banach space setting. In particular, we only assume that the Gateaux derivative of the operator involved is hemicontinuous. An application is also provided.
Newton-like method;Banach space setting;semilocal convergence;Gateaux-derivative;hemicontinuity;
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