Semilocal convergence for Newton's method on a Banach space with a convergence structure and twice Fréchet differentiable operators.
On the convergence of Newton's method for analytic operators.
A local convergence analysis and applications of Newton's method under weak assumptions.
A unifying theorem on Newton's method in a Banach space with a convergence structure under weak assumptions.
An iterative method for computing zeros of operators satisfying autonomous differential equations.
Local and semilocal convergence theorems for Newton's method based on continuously Fréchet differentiable operators.
A monotone convergence theorem for Newton-like methods using hypotheses on divided differences of order two.
Results on controlling the residuals of perturbed Newton-like methods on Banach spaces with a convergence structure.
Perturbed Newton-like methods and nondifferentiable operator equations on Banach spaces with a convergence structure.
Sufficient conditions for the convergence of iterations to points of attraction in Banach space.
On the convergence of perturbed Newton-like methods in Banach space and applications.
A generalization of Edelstein's theorem on fixed points and applications.
On the monotone convergence of implicit Newton-like methods.
General ways of constructing accelerating Newton-like iterations on partially ordered topological spaces.
A new convergence theorem for Steffensen's method on Banach spaces and applications.
Weak conditions for the convergence of iterations to solutions of equations on partially ordered topological spaces.
A local convergence theorem for the inexact Newton method at singular points.
Comparing the radii of some balls appearing in connection to three local convergence theorems for Newton's method.
Iterations converging to distinct solutions of some nonlinear operator equations in Banach space.
On polynomial equations in Banach space, perturbation techniques and applications.
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