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Titlebook: Combined Relaxation Methods for Variational Inequalities; Igor Konnov Book 2001 Springer-Verlag Berlin Heidelberg 2001 Combined Relaxation

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書目名稱Combined Relaxation Methods for Variational Inequalities
編輯Igor Konnov
視頻videohttp://file.papertrans.cn/231/230078/230078.mp4
概述Includes supplementary material:
叢書名稱Lecture Notes in Economics and Mathematical Systems
圖書封面Titlebook: Combined Relaxation Methods for Variational Inequalities;  Igor Konnov Book 2001 Springer-Verlag Berlin Heidelberg 2001 Combined Relaxation
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
關鍵詞Combined Relaxation Methods; Generalized Monotone Mapppings; Ungleichungssysteme; Variational Inequalit
版次1
doihttps://doi.org/10.1007/978-3-642-56886-2
isbn_softcover978-3-540-67999-8
isbn_ebook978-3-642-56886-2Series ISSN 0075-8442 Series E-ISSN 2196-9957
issn_series 0075-8442
copyrightSpringer-Verlag Berlin Heidelberg 2001
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Book 2001 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
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Combined Relaxation Methods for Variational Inequalities978-3-642-56886-2Series ISSN 0075-8442 Series E-ISSN 2196-9957
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Snake Charming - The Musical PythonAs usual, we denote by R. the real n-dimensional Euclidean space, its elements being column vectors. We use superscripts to denote different vectors, the superscript . denotes transpose. Subscripts are used to denote different scalars or components of vectors.
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Johann Joseph Fux (1660 to 1741)In this chapter, we consider combined relaxation (CR) methods for solving variational inequalities which involve a multivalued mapping or a nonsmooth function.
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