Combined Relaxation Methods for Variational Inequalities

Igor Konnov

ISBN 10: 3540679995 / ISBN 13: 9783540679998

Published by Springer, 2000

About this Item

Combined Relaxation Methods for Variational Inequalities | Igor Konnov | Taschenbuch | Lecture Notes in Economics and Mathematical Systems | xi | Englisch | 2000 | Springer | EAN 9783540679998 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.

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Bibliographic Details

• Title: Combined Relaxation Methods for Variational Inequalities
• Publisher: Springer
• Publication Date: 2000
• Language: English
• ISBN 10: 3540679995
• ISBN 13: 9783540679998
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 12D millimeters 235 millimeters width by 155 millimeters height by 12 millimeters depth
• Weight: 312 grams
• Seller catalogs:
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About this title

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.