Sublinear Convergence of the Chord Method at Singular Points.
D.W. Decker, C.T. Kelley (1983)
Numerische Mathematik
Hernández, M.A., Salanova, M.A. (1999)
Southwest Journal of Pure and Applied Mathematics [electronic only]
Argyros, Ioannis K. (1996)
Southwest Journal of Pure and Applied Mathematics [electronic only]
Karl Kunisch, Daniel Wachsmuth (2012)
ESAIM: Control, Optimisation and Calculus of Variations
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...
Karl Kunisch, Daniel Wachsmuth (2012)
ESAIM: Control, Optimisation and Calculus of Variations
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...
Maria Erminia Marina Borghesani (1979)
Rendiconti del Seminario Matematico della Università di Padova
Manuel del Pino, Juncheng Wei (2007)
Annales de l'I.H.P. Analyse non linéaire
Massa, Eugenio (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Lorca, Sebastián, Souto, Marco Aurelio, Ubilla, Pedro (2007)
Journal of Inequalities and Applications [electronic only]
Egor Alekhno (2012)
Open Mathematics
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...
Agarwal, Ravi P., Verma, Ram U. (2009)
Fixed Point Theory and Applications [electronic only]
Jiří Jarušek, Jindřich Nečas (1977)
Časopis pro pěstování matematiky
T. Leżański (1974)
Studia Mathematica
T. Leżański (1976)
Studia Mathematica
T. Leżański (1981)
Studia Mathematica
Moïse Sibony (1977)
Aplikace matematiky
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.
Valter Šeda (1990)
Czechoslovak Mathematical Journal
W. Feng, Jeffrey Ronald Leslie Webb (1997)
Commentationes Mathematicae Universitatis Carolinae
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...
W.V. PETRYSHYN (1971)
Mathematische Annalen
Lei, Yutian (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]