Common fixed points of a finite family of asymptotically pseudocontractive maps.
Common solutions of an iterative scheme for variational inclusions, equilibrium problems, and fixed point problems.
Comparing the radii of some balls appearing in connection to three local convergence theorems for Newton's method.
Comparison of fastness of the convergence among Krasnoselskij, Mann, and Ishikawa iterations in arbitrary real Banach spaces.
Computer-assisted proofs for fixed point problems in Sobolev spaces.
Concerning the convergence of a modified Newton-like method.
Conditions de convergence pour les algorithmes itératifs monotones, autonomes et non déterministes
Convergence analysis of a one-step intermediate Newton iterative scheme.
Convergence comparison of several iteration algorithms for the common fixed point problems.
Convergence conditions for Secant-type methods
We provide new sufficient convergence conditions for the convergence of the secant-type methods to a locally unique solution of a nonlinear equation in a Banach space. Our new idea uses recurrent functions, and Lipschitz-type and center-Lipschitz-type instead of just Lipschitz-type conditions on the divided difference of the operator involved. It turns out that this way our error bounds are more precise than earlier ones and under our convergence hypotheses we can cover cases where earlier conditions...
Convergence domains under Zabrejko-Zinčenko conditions using recurrent functions
We provide a semilocal convergence analysis for Newton-type methods using our idea of recurrent functions in a Banach space setting. We use Zabrejko-Zinčenko conditions. In particular, we show that the convergence domains given before can be extended under the same computational cost. Numerical examples are also provided to show that we can solve equations in cases not covered before.
Convergence d'un schéma de minimisation alternée
Convergence of discretization procedures for problems whose entropy solutions are uniquely characterized by additional relations
Weak solutions of given problems are sometimes not necessarily unique. Relevant solutions are then picked out of the set of weak solutions by so-called entropy conditions. Connections between the original and the numerical entropy condition were often discussed in the particular case of scalar conservation laws, and also a general theory was presented in the literature for general scalar problems. The entropy conditions were realized by certain inequalities not generalizable to systems of equations...
Convergence of Newton-like methods for singular operator equations using outer inverses.
Convergence rates of iterated Tikhonov regularized solutions of nonlinear Ill-posed problems.
Convergence theorems for Newton-like methods using data from a set or a single point and outer inverses.
Convergence to compact sets of inexact orbits of nonexpansive mappings in Banach and metric spaces.