Combined Relaxation Methods for Variational Inequalities - Lecture Notes in Economics and Mathematical Systems 495 (Paperback)
  • Combined Relaxation Methods for Variational Inequalities - Lecture Notes in Economics and Mathematical Systems 495 (Paperback)
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Combined Relaxation Methods for Variational Inequalities - Lecture Notes in Economics and Mathematical Systems 495 (Paperback)

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Paperback 184 Pages / Published: 18/10/2000
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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.

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN: 9783540679998
Number of pages: 184
Weight: 640 g
Dimensions: 235 x 155 x 10 mm
Edition: 2001 ed.

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