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Lecture Notes in Economics and Mathematical Systems

Combined Relaxation Methods for Variational Inequalities

Authors: Konnov, Igor

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About this book

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.

Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook 64,19 €
price for Spain (gross)
  • ISBN 978-3-642-56886-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 77,99 €
price for Spain (gross)
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Bibliographic Information

Bibliographic Information
Book Title
Combined Relaxation Methods for Variational Inequalities
Authors
Series Title
Lecture Notes in Economics and Mathematical Systems
Series Volume
495
Copyright
2001
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-56886-2
DOI
10.1007/978-3-642-56886-2
Softcover ISBN
978-3-540-67999-8
Series ISSN
0075-8442
Edition Number
1
Number of Pages
XI, 184
Topics