The iterative method of generalized -concave operators.
The Lagrange multipliers theorem for locally convex metric spaces
The large deformation of nonlinearly elastic shells in axisymmetric flows
The Newton-kantorovich Method under Mild Differentiability Conditions and the Patak Error Estimates.
The Perturbed Generalized Tikhonov's Algorithm
We work on the research of a zero of a maximal monotone operator on a real Hilbert space. Following the recent progress made in the context of the proximal point algorithm devoted to this problem, we introduce simultaneously a variable metric and a kind of relaxation in the perturbed Tikhonov’s algorithm studied by P. Tossings. So, we are led to work in the context of the variational convergence theory.
The perturbed Tikhonov's algorithm and some of its applications
The rate of convergence of a modified Newton's process
The Secant Method and Fixed Points of Nonlinear Operators.
The shrinking projection method for common solutions of generalized mixed equilibrium problems and fixed point problems for strictly pseudocontractive mappings.
The solvability of a class of general nonlinear implicit variational inequalities based on perturbed three-step iterative processes with errors.
The topological degree method for equations of the Navier-Stokes type.
Topological and approximation methods of degree theory of set-valued maps [Book]
Towards viscosity approximations of hierarchical fixed-point problems.
Two convergence results for continuous descent methods.
Two new iterative methods for a countable family of nonexpansive mappings in Hilbert spaces.
Two Results on Jachymski-Schröder-Stein Contractions
We establish two fixed point theorems for certain mappings of contractive type.
Un critère de convergence pour des méthodes générales de point fixe
Unified Error Analysis for Newton-Type Methods .
Upper bound for the number of eigenvalues for nonlinear operators (Preliminary communication)
Variational-like inclusions and resolvent equations involving infinite family of set-valued mappings.