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We present new sufficient semilocal convergence conditions for
the Newton-Kantorovich method in order to approximate a locally unique
solution of a nonlinear equation in a Banach space setting. Examples are
given to show that our results apply but earlier ones do not apply to solve
nonlinear equations.
Ioannis K. Argyros, Hongmin Ren. (2014) New w-Convergence Conditions for the Newton-Kantorovich Method, , Volume 46, Issue 1.
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