Treffer: Some iterative methods for general nonconvex variational inequalities
Title:
Some iterative methods for general nonconvex variational inequalities
Authors:
Source:
Mathematical and computer modelling. 54(11-12):2955-2961
Publisher Information:
Kidlington: Elsevier, 2011.
Publication Year:
2011
Physical Description:
print, 30 ref
Original Material:
INIST-CNRS
Subject Terms:
Computer science, Informatique, Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Analyse mathématique, Mathematical analysis, Calcul des variations et contrôle optimal, Calculus of variations and optimal control, Analyse numérique. Calcul scientifique, Numerical analysis. Scientific computation, Analyse numérique, Numerical analysis, Algèbre linéaire numérique, Numerical linear algebra, Méthodes numériques en programmation mathématique, optimisation et calcul variationnel, Numerical methods in mathematical programming, optimization and calculus of variations, Optimisation et calcul variationnel numériques, Numerical methods in optimization and calculus of variations, Méthodes de calcul scientifique (y compris calcul symbolique, calcul algébrique), Methods of scientific computing (including symbolic computation, algebraic computation), Algèbre linéaire numérique, Numerical linear algebra, Algebra lineal numérica, Analyse assistée, Computer aided analysis, Análisis asistido, Analyse numérique, Numerical analysis, Análisis numérico, Calcul variationnel, Variational calculus, Cálculo de variaciones, Convergence, Convergencia, Inégalité variationnelle, Variational inequality, Desigualdad variacional, Mathématiques appliquées, Applied mathematics, Matemáticas aplicadas, Modèle mathématique, Mathematical model, Modelo matemático, Méthode itérative, Iterative method, Método iterativo, Méthode optimisation, Optimization method, Método optimización, Méthode à pas, Step method, Método a paso, Programmation mathématique, Mathematical programming, Programación matemática, Système linéaire, Linear system, Sistema lineal, 49J40, 49R50, 58E35, 65F08, 65F10, 65K10, 65K15, 65Kxx, Monotone operators, Nonconvex sets, Variational inequalities
Document Type:
Fachzeitschrift
Article
File Description:
text
Language:
English
Author Affiliations:
Mathematics Department, COMSATS Institute of Information Technology, Park Road, Islamabad, Saudi Arabia
Mathematics Department, College of Science, King Saud University, Riyadh, Saudi Arabia
Mathematics Department, College of Science, King Saud University, Riyadh, Saudi Arabia
ISSN:
0895-7177
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.24559730
Database:
PASCAL Archive
Weitere Informationen
In this paper, we suggest and analyze some three-step iterative methods for solving general nonconvex variational inequalities using the technique of updating the solution. We show that the convergence of these iterative methods requires only the partially relaxed strongly monotonicity which is a weaker condition than cocoerciveness. We are also discuss several special cases. Our method of proof is very simple compared with other techniques.