Controllability of Urysohn integral inclusions of Volterra type.
Convergence analysis for a system of equilibrium problems and a countable family of relatively quasi-nonexpansive mappings in Banach spaces.
Convergence analysis for a system of generalized equilibrium problems and a countable family of strict pseudocontractions.
Convergence analysis of a one-step intermediate Newton iterative scheme.
Convergence and stability of the three-step iterative schemes for a class of general quasivariational-like inequalities.
Convergence at the origin of integrated semigroups
We study a classification of κ-times integrated semigroups (for κ > 0) by their (uniform) rate of convergence at the origin: as t → 0 (0 ≤ α ≤ κ). By an improved generation theorem we characterize this behaviour by Hille-Yosida type estimates. Then we consider integrated semigroups with holomorphic extension and characterize their convergence at the origin, as well as the existence of boundary values, by estimates of the associated holomorphic semigroup. Various examples illustrate these results....
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 dans le domaine complexe des séries de fonctions propres
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 estimate for second order Cauchy problems with a small parameter
We consider the second order initial value problem in a Hilbert space, which is a singular perturbation of a first order initial value problem. The difference of the solution and its singular limit is estimated in terms of the small parameter The coefficients are commuting self-adjoint operators and the estimates hold also for the semilinear problem.
Convergence estimates and approximation solvability of nonlinear implicit variational inequalities.
Convergence for hyperbolic singular perturbation of integrodifferential equations.
Convergence in Dirichlet law of certain stochastic integrals.
Convergence in evolutionary variational inequalities with hysteresis nonlinearities
Convergence in the generalized sense relative to Banach algebras of operators and in LMC-algebras
The notion of convergence in the generalized sense of a sequence of closed operators is generalized to the situation where the closed operators involved are affiliated with a Banach algebra of operators. Also, the concept of convergence in the generalized sense is extended to the context of a LMC-algebra, where it applies to the spectral theory of the algebra.
Convergence of a random iteration scheme to a random fixed point.
Convergence of a sequence of sets in a Hadamard space and the shrinking projection method for a real Hilbert ball.
Convergence of an iteration leading to a solution of a random operator equation.
Convergence of an operator series.