Sufficient conditions for semilocal convergence of a fourth order multipoint iterative method for solving equations in Banach spaces.
Sufficient conditions for the convergence of iterations to points of attraction in Banach space.
Sulla convergenza di una successione di operatori non lineari e sulla perturbazione di disequazioni variazionali
Super-relaxed -proximal point algorithms, relaxed -proximal point algorithms, linear convergence analysis, and nonlinear variational inclusions.
Sur une méthode itérative de résolution de problèmes aux limites elliptiques non linéaires
Soit un opérateur non nécessairement linéaire d’un Hilbert de l’équation , pour donné dans . Nous étudions la convergence du schéma itératif suivant: aou est fonction d’un opérateur auto-adjoint choisi de telle sorte que l’inversion de soit immédiate numériquement. Par exemple avec un entier et une constante convenablement choisis. Nous appliquons les résultats à un problème aux limites non linéaires avec résultats numériques.
Syntheses of differential games and pseudo-Riccati equations.
System of general variational inequalities involving different nonlinear operators related to fixed point problems and its applications.
The Cauchy problem for the nonlinear Schrödinger Equation in H1.
The comparison of the convergence speed between Picard, Mann, Krasnoselskij and Ishikawa iterations in Banach spaces.
The convergence of an implicit mean value iteration.
The convergence of mean value iteration for a family of maps.
The effect of rounding errors on a certain class of iterative methods
In this study we are concerned with the problem of approximating a solution of a nonlinear equation in Banach space using Newton-like methods. Due to rounding errors the sequence of iterates generated on a computer differs from the sequence produced in theory. Using Lipschitz-type hypotheses on the mth Fréchet derivative (m ≥ 2 an integer) instead of the first one, we provide sufficient convergence conditions for the inexact Newton-like method that is actually generated on the computer. Moreover,...
The equivalence between -stabilities of the Krasnoselskij and the Mann iterations.
The equivalence between the convergences of Mann and Ishikawa iteration methods with errors for demicontinuous -strongly accretive operators in uniformly smooth Banach spaces.
The equivalence between the Mann and Ishikawa iterations dealing with generalized contractions.
The equivalence between the -stabilities of Picard–Banach and Mann–Ishikawa iterations.
The equivalence of Mann iteration and Ishikawa iteration for -uniformly pseudocontractive or -uniformly accretive maps.
The equivalence of Mann iteration and Ishikawa iteration for non-Lipschitzian operators.
The general hybrid approximation methods for nonexpansive mappings in Banach spaces.
The interaction of linear boundary value and nonlinear functional conditions
The existence of solutions is studied for certain nonlinear differential equations with both linear and nonlinear conditions