On the comparison of a weak variant of the Newton--Kantorovich and Miranda theorems.
The author [J. Comput. Appl. Math. 157, 169--185 (2003; Zbl 1030.65060)] has shown a semi-local convergence theorem under weaker assumptions than those of the Newton-Kantorovich theorem. Operators satisfying the weakened Newton-Kantorovich conditions are shown to satisfy the conditions of the weakened Miranda theorem.
scientific article; zbMATH DE number 2062755
scientific article