On the convergence of gelerkin approximations
On the convergence of implicit Ishikawa iterations with errors to a common fixed point of two mappings in convex metric spaces.
On the convergence of implicit iterative processes for asymptotically pseudocontractive mappings in the intermediate sense.
On the convergence of iterative sequences for a family of nonexpansive mappings and inverse-strongly monotone mappings.
On the convergence of Neumann series for noncompact operators
On the convergence of Neumann series in Banach space.
Si estende un risultato di N. Suzuki sulla convergenza della serie di Neumann per un operatore compatto in uno spazio di Banach.
On the Convergence of Neumann Series in Banach Spaces.
On the convergence of Newton's method for analytic operators.
On the convergence of Newton's method under ω*-conditioned second derivative
We provide a new semilocal result for the quadratic convergence of Newton's method under ω*-conditioned second Fréchet derivative on a Banach space. This way we can handle equations where the usual Lipschitz-type conditions are not verifiable. An application involving nonlinear integral equations and two boundary value problems is provided. It turns out that a similar result using ω-conditioned hypotheses can provide usable error estimates indicating only linear convergence for Newton's method.
On the convergence of operators
On the convergence of perturbed Newton-like methods in Banach space and applications.
On the convergence of semiiterative methods to the Drazin inverse solution of linear equations in Banach spaces.
On the convergence of sequences of linear operators and adjoint operators
On the convergence of some methods for variational inclusions
On the convergence of the Ishikawa iterates to a common fixed point of two mappings
Let be a convex subset of a complete convex metric space , and and be two selfmappings on . In this paper it is shown that if the sequence of Ishikawa iterations associated with and converges, then its limit point is the common fixed point of and . This result extends and generalizes the corresponding results of Naimpally and Singh [6], Rhoades [7] and Hicks and Kubicek [3].
On the convergence of the Ishikawa iteration in the class of quasi contractive operators.
On the convergence of the iterates of the Frobenius-Perron operator associated with a Markov map defined on an interval. The lower-function approach
On the convergence of the secant method under the gamma condition
We provide sufficient convergence conditions for the Secant method of approximating a locally unique solution of an operator equation in a Banach space. The main hypothesis is the gamma condition first introduced in [10] for the study of Newton’s method. Our sufficient convergence condition reduces to the one obtained in [10] for Newton’s method. A numerical example is also provided.
On the convergence of the three-step iteration process in the class of quasi-contractive operators.
On the convergence of two-step Newton-type methods of high efficiency index
We introduce a new idea of recurrent functions to provide a new semilocal convergence analysis for two-step Newton-type methods of high efficiency index. It turns out that our sufficient convergence conditions are weaker, and the error bounds are tighter than in earlier studies in many interesting cases. Applications and numerical examples, involving a nonlinear integral equation of Chandrasekhar type, and a differential equation containing a Green's kernel are also provided.