An extension of the auxiliary problem principle to nonsymmetric auxiliary operators
An Extension of the Auxiliary Problem Principle to Nonsymmetric Auxiliary Operators
To find a zero of a maximal monotone operator, an extension of the Auxiliary Problem Principle to nonsymmetric auxiliary operators is proposed. The main convergence result supposes a relationship between the main operator and the nonsymmetric component of the auxiliary operator. When applied to the particular case of convex-concave functions, this result implies the convergence of the parallel version of the Arrow-Hurwicz algorithm under the assumptions of Lipschitz and partial Dunn properties...
An implicit iteration method for variational inequalities over the set of common fixed points for a finite family of nonexpansive mappings in Hilbert spaces.
An improved convergence analysis of Newton's method for twice Fréchet differentiable operators
We develop local and semilocal convergence results for Newton's method in order to solve nonlinear equations in a Banach space setting. The results compare favorably to earlier ones utilizing Lipschitz conditions on the second Fréchet derivative of the operators involved. Numerical examples where our new convergence conditions are satisfied but earlier convergence conditions are not satisfied are also reported.
An infinite dimensional analogue of R. S. Varga's lemma
An inverse function theorem for Frechet spaces
An Iteration Method for Studying the Bifurcation of Solutions of the Nonlinear Equations, L(...) u + ..R (..., u) = 0 .
An Iteration Scheme for Boundary Value-Alternative Problems.
An iterative approach to a constrained least squares problem.
An iterative method for computing zeros of operators satisfying autonomous differential equations.
An iterative method of solving differential equations
An Iterative Procedure for Solving Nonsmooth Generalized Equation
2000 Mathematics Subject Classification: 47H04, 65K10.In this article, we study a general iterative procedure of the following form 0 ∈ f(xk)+F(xk+1), where f is a function and F is a set valued map acting from a Banach space X to a linear normed space Y, for solving generalized equations in the nonsmooth framework. We prove that this method is locally Q-linearly convergent to x* a solution of the generalized equation 0 ∈ f(x)+F(x) if the set-valued map [f(x*)+g(·)−g(x*)+F(·)]−1 is Aubin continuous...
An Iterative Procedure for the Solution of Constrained Nonlinear Equations with Application to Optimization Problems.
An optimal order yielding discrepancy principle for simplified regularization of ill-posed problems in Hilbert scales.
Analisi costruttiva e numerica per una classe di equazioni di Hammerstein della teoria del trasporto
Analog solution of a given problem in the back time
Analysis for a molten carbonate fuel cell.
Analysis of a Damped Nonlinear Multilevel Method.
Anwendungen des Fixpunktsatzes für Pseudometrische Räume in der Intervallrechnung.
Application of Rothe's method to evolution integrodifferential systems