Combined Relaxation Methods for Variational Inequalities

Konnov, Igor

ISBN 10: 3540679995 / ISBN 13: 9783540679998

Edité par Springer 2000-10, 2000

A propos de cet article

N° de réf. du vendeur 6666-IUK-9783540679998

Détails bibliographiques

• Titre: Combined Relaxation Methods for Variational Inequalities
• Éditeur: Springer 2000-10
• Date de parution: 2000
• Langue: anglais
• ISBN à 10 chiffres: 3540679995
• ISBN à 13 chiffres: 9783540679998
• Reliure: PF
• État de l'article: New

A propos de ce titre

Synopsis

Variational inequalities proved to be a very useful and powerful tool for in- vestigation and solution of many equilibrium type problems in Economics, Engineering, Operations Research and Mathematical Physics. In fact, varia- tional inequalities for example provide a unifying framework for the study of such diverse problems as boundary value problems, price equilibrium prob- lems and traffic network equilibrium problems. Besides, they are closely re- lated with many general problems of Nonlinear Analysis, such as fixed point, optimization and complementarity problems. As a result, the theory and so- lution methods for variational inequalities have been studied extensively, and considerable advances have been made in these areas. This book is devoted to a new general approach to constructing solution methods for variational inequalities, which was called the combined relax- ation (CR) approach. This approach is based on combining, modifying and generalizing ideas contained in various relaxation methods. In fact, each com- bined relaxation method has a two-level structure, i.e., a descent direction and a stepsize at each iteration are computed by finite relaxation procedures.