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A new semi-local convergence theorem for the inexact Newton methods. (English) Zbl 1160.65025
The semi-local convergence of an inexact Newton method is proved under a weak integral type Lipschitz condition for the derivative.

##### MSC:
 65J15 Equations with nonlinear operators (numerical methods) 47J25 Iterative procedures (nonlinear operator equations)
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##### References:
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