Convergence of iterative algorithms to common random fixed points of random operators.
Convergence of iterative sequences for common zero points of a family of -accretive mappings in Banach spaces.
Convergence of iterative sequences for fixed point and variational inclusion problems.
Convergence of iterative sequences for generalized equilibrium problems involving inverse-strongly monotone mappings.
Convergence of Monotone Operators.
Convergence of moving averages of multiparameter superadditive processes.
Convergence of Newton-like methods for singular operator equations using outer inverses.
Convergence of numerical methods and parameter dependence of min-plus eigenvalue problems, Frenkel-Kontorova models and homogenization of Hamilton-Jacobi equations
Using the min-plus version of the spectral radius formula, one proves: 1) that the unique eigenvalue of a min-plus eigenvalue problem depends continuously on parameters involved in the kernel defining the problem; 2) that the numerical method introduced by Chou and Griffiths to compute this eigenvalue converges. A toolbox recently developed at I.n.r.i.a. helps to illustrate these results. Frenkel-Kontorova models serve as example. The analogy with homogenization of Hamilton-Jacobi equations is emphasized....
Convergence of numerical methods and parameter dependence of min-plus eigenvalue problems, Frenkel-Kontorova models and homogenization of Hamilton-Jacobi equations
Using the min-plus version of the spectral radius formula, one proves: 1) that the unique eigenvalue of a min-plus eigenvalue problem depends continuously on parameters involved in the kernel defining the problem; 2) that the numerical method introduced by Chou and Griffiths to compute this eigenvalue converges. A toolbox recently developed at I.n.r.i.a. helps to illustrate these results. Frenkel-Kontorova models serve as example. The analogy with homogenization of Hamilton-Jacobi equations...
Convergence of orthogonal series of projections in Banach spaces
For a sequence of mutually orthogonal projections in a Banach space, we discuss all possible limits of the sums in a “strong” sense. Those limits turn out to be some special idempotent operators (unbounded, in general). In the case of X = L₂(Ω,μ), an arbitrary unbounded closed and densely defined operator A in X may be the μ-almost sure limit of (i.e. μ-a.e. for all f ∈ (A)).
Convergence of paths for perturbed maximal monotone mappings in Hilbert spaces.
Convergence of the Ishikawa iterate for multi-valued mappings in metric spaces of hyperbolic type
Convergence of three-step iterations scheme for nonself asymptotically nonexpansive mappings.
Convergence of two-step iterative scheme with errors for two asymptotically nonexpansive mappings.
Convergence on composite iterative schemes for nonexpansive mappings in Banach spaces.
Convergence Rates for intermediate problems.
Convergence rates for regularization with sparsity constraints.
Convergence rates of ergodic limits for semigroups and cosine functions.
Convergence rates of iterated Tikhonov regularized solutions of nonlinear Ill-posed problems.
Convergence results for a class of abstract continuous descent methods.