Sublinear Convergence of the Chord Method at Singular Points.
Sufficient conditions for semilocal convergence of a fourth order multipoint iterative method for solving equations in Banach spaces.
Sufficient conditions for the convergence of iterations to points of attraction in Banach space.
Sufficient optimality conditions and semi-smooth newton methods for optimal control of stationary variational inequalities
In this paper sufficient second order optimality conditions for optimal control problems subject to stationary variational inequalities of obstacle type are derived. Since optimality conditions for such problems always involve measures as Lagrange multipliers, which impede the use of efficient Newton type methods, a family of regularized problems is introduced. Second order sufficient optimality conditions are derived for the regularized problems...
Sufficient optimality conditions and semi-smooth newton methods for optimal control of stationary variational inequalities
In this paper sufficient second order optimality conditions for optimal control problems subject to stationary variational inequalities of obstacle type are derived. Since optimality conditions for such problems always involve measures as Lagrange multipliers, which impede the use of efficient Newton type methods, a family of regularized problems is introduced. Second order sufficient optimality conditions are derived for the regularized problems...
Sulla convergenza di una successione di operatori non lineari e sulla perturbazione di disequazioni variazionali
Supercritical elliptic problems in domains with small holes
Superlinear equations and a uniform anti-maximum principle for the multi-Laplacian operator.
Superlinear equations involving nonlinearities limited by asymptotically homogeneous functions.
Superposition operator on the space of sequences almost converging to zero
We study the superposition operator f on on the space ac 0 of sequences almost converging to zero. Conditions are derived for which f has a representation of the form f x = a+bx +g x, for all x ∈ ac 0 with a = f 0, b ∈ D(ac 0), g a superposition operator from ℓ∞ into I(ac 0), D(ac 0) = {z: zx ∈ ac 0 for all x ∈ ac 0}, and I(ac 0) the maximal ideal in ac 0. If f is generated by a function f of a real variable, then f is linear. We consider the conditions for which a bounded function f generates f...
Super-relaxed -proximal point algorithms, relaxed -proximal point algorithms, linear convergence analysis, and nonlinear variational inclusions.
Sur les domaines des valeurs des opérateurs non-linéaires
Sur les équations d'évolution non linéaires 1
Sur les équations du type ψ(x,h)=0 (I)
Sur les équations du type Ψ(x,h)=0 (II)
Sur une méthode itérative de résolution de problèmes aux limites elliptiques non linéaires
Soit un opérateur non nécessairement linéaire d’un Hilbert de l’équation , pour donné dans . Nous étudions la convergence du schéma itératif suivant: aou est fonction d’un opérateur auto-adjoint choisi de telle sorte que l’inversion de soit immédiate numériquement. Par exemple avec un entier et une constante convenablement choisis. Nous appliquons les résultats à un problème aux limites non linéaires avec résultats numériques.
Surjectivity of an operator
Surjectivity results for nonlinear mappings without oddness conditions
Surjectivity results of Fredholm alternative type are obtained for nonlinear operator equations of the form , where is invertible, and satisfy various types of homogeneity conditions. We are able to answer some questions left open by Fuč’ık, Nečas, Souček, and Souček. We employ the concept of an -stably-solvable operator, related to nonlinear spectral theory methodology. Applications are given to a nonlinear Sturm-Liouville problem and a three point boundary value problem recently studied...
Surjectivity Theorems for Odd Maps of A-proper Type.
Symmetric solutions to minimization of a -energy functional with ellipsoid value.