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.
| ISBN: | 9783540679998 |
| Publication date: | 18th October 2000 |
| Author: | Igor Konnov |
| Publisher: | Springer an imprint of Springer Berlin Heidelberg |
| Format: | Paperback |
| Pagination: | 184 pages |
| Series: | Lecture Notes in Economics and Mathematical Systems |
| Genres: |
Operational research Management decision making Economic theory and philosophy Calculus and mathematical analysis |
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.
Combined Relaxation Methods for Variational Inequalities features in the following genres: Operational research, Management decision making, Economic theory and philosophy, Calculus and mathematical analysis
Combined Relaxation Methods for Variational Inequalities is available in Paperback
Combined Relaxation Methods for Variational Inequalities was written by Igor Konnov and published by Springer an imprint of Springer Berlin Heidelberg
Combined Relaxation Methods for Variational Inequalities has 184 pages
Yes it is part of Lecture Notes in Economics and Mathematical Systems series