书目名称 | Combined Relaxation Methods for Variational Inequalities | 编辑 | Igor Konnov | 视频video | | 概述 | Includes supplementary material: | 丛书名称 | Lecture Notes in Economics and Mathematical Systems | 图书封面 |  | 描述 | 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. | 出版日期 | Book 2001 | 关键词 | Combined Relaxation Methods; Generalized Monotone Mapppings; Ungleichungssysteme; Variational Inequalit | 版次 | 1 | doi | https://doi.org/10.1007/978-3-642-56886-2 | isbn_softcover | 978-3-540-67999-8 | isbn_ebook | 978-3-642-56886-2Series ISSN 0075-8442 Series E-ISSN 2196-9957 | issn_series | 0075-8442 | copyright | Springer-Verlag Berlin Heidelberg 2001 |
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