Combined Relaxation Methods for Variational Inequalities
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 examp
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Founding Editors: M. Beckmann H. P. Künzi Co-Editors: C. D. Aliprantis, Dan Kovenock Editorial Board: P. Bardsley, A. Basile, M.R. Baye, T. Cason, R. Deneckere, A. Drexl, G. Feichtinger, M. Florenzano, W. Güth, K. Inderfurth, M. Kaneko, P. Korhonen, W. Kürsten, M. Li Calzi, P. K. Monteiro, Ch. Noussair, G. Philips, U. Schittko, P. Schönfeld, R. Selten, G. Sorger, R. Steuer, F. Vega-Redondo, A. P. Viiiami I, M. Wooders Managing Editors: Prof. Dr. G. Fandei Fachbereich Wirtschaftswissenschaften Fernuniversität Hagen Feithstr. 140/AVZ II, 58084 Hagen, Germany Prof. Dr. W. Trockel Institut für Mathematische Wirtschaftsforschung (IMW) Universität Bielefeld Universitätsstr. 25, 33615 Bielefeld, Germany
Springer-Verlag Berlin Heidelberg GmbH
Igor Konnov
Combined Relaxation Methods for Variational Inequalities
Springer
Author Prof. Igor Konnov Department of Applied Mathematics Kazan University ul. Kremlevskaya, 18 Kazan 420008, Russia
Cataloging-in-Publication data applied for Die Deutsche Bibliothek - CIP-Einheitsaufnahme Konnov, Igor': Combined relaxation methods for variational inequalities I Igor Konnov.- Berlin; Heidelberg; New York; Barcelona; Hong Kong; London; Milan; Paris; Singapore; Tokyo: Springer, 2001 · (Lecture notes in economics and mathematical systems ; 495) ISBN 978-3-540-67999-8 ISBN 978-3-642-56886-2 (eBook) DOI 10.1007/978-3-642-56886-2
ISSN 0075-8442
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The author dedicates this book to his parents
Preface
Variational inequalities proved to be a very useful and powerful tool for investigation and solution of many equilibrium type problems in Economics, Engineering, Operations Research and Mathematical Physics. In fact, variational inequalities for example provide a unifying framework for the study of such diverse problems as boundary value problems, price equilibrium problems and traffic network equilibrium problems. Besides, they are closely related with many general problems of Nonlinear Analysis, such as fixed point, optimization an
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