Parallel synchronous algorithm for nonlinear fixed point problems.
Partial regularization of the sum of two maximal monotone operators
Path convergence and approximation of common zeroes of a finite family of -accretive mappings in Banach spaces.
Perturbations of variational inequalities and rate of convergence of solutions
Perturbed iterative algorithms for generalized nonlinear set-valued quasivariational inclusions involving generalized -accretive mappings.
Perturbed iterative approximation of solutions for nonlinear general -monotone operator equations in Banach spaces.
Perturbed Newton-like methods and nondifferentiable operator equations on Banach spaces with a convergence structure.
Perturbed three-step approximation process with errors for a generalized implicit nonlinear quasivariational inclusions.
Picard iteration converges faster than Mann iteration for a class of quasi-contractive operators.
Plongements radiaux à courbure de Gauss positive prescrite
Point fixe d'une application non contractante.
We study a multilinear fixed-point equation in a closed ball of a Banach space where the application is 1-Lipschitzian: existence, uniqueness, approximations, regularity.
Proximal normal structure and relatively nonexpansive mappings
The notion of proximal normal structure is introduced and used to study mappings that are "relatively nonexpansive" in the sense that they are defined on the union of two subsets A and B of a Banach space X and satisfy ∥ Tx-Ty∥ ≤ ∥ x-y∥ for all x ∈ A, y ∈ B. It is shown that if A and B are weakly compact and convex, and if the pair (A,B) has proximal normal structure, then a relatively nonexpansive mapping T: A ∪ B → A ∪ B satisfying (i) T(A) ⊆ B and T(B) ⊆ A, has a proximal point in the sense that...