Overview

Variational inequalities proved to be a very useful tool for investigation and solution of various equilibrium type problems arising in Economics, Operations Research, Mathematical Physics, and Transportation. This book is devoted to a new general approach to constructing solution methods for variational inequalities, which was called the combined relaxation approach. This approach is rather flexible and allows one to construct various methods both for single-valued and for multi-valued variational inequalities, including nonlinear constrained problems. The other essential feature of the combined relaxation methods is that they are convergent under very mild assumptions. The book can be viewed as an attempt to discribe the existing combined relaxation methods as a whole.

Full Product Details

Author:   Igor Konnov
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2001 ed.
Volume:   495
Dimensions:   Width: 15.50cm , Height: 1.00cm , Length: 23.50cm
Weight:   0.640kg
ISBN:  

9783540679998

ISBN 10:   3540679995
Pages:   184
Publication Date:   18 October 2000
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Notation and Convention.- Variational Inequalities with Continuous Mappings.- Problem Formulation and Basic Facts; Main Idea of CR Methods; Implementable CR Methods; Modified Rules for Computing Iteration Parameters; CR Method Based on a Frank-Wolfe Type Auxiliary Procedure; CR Method for Variational Inequalities with Nonlinear Constraints; Variational Inequalities with Multivalued Mappings.- Problem Formulation and Basic Facts; CR Method for the Mixed Variational Inequality Problem; CR Method for the Generalized Variational Inequality Problem; CR Method for Multivalued Inclusions; Decomposable CR Method; Applications and Numerical Experiments.- Iterative Methods for Variational Inequalities with non Strictly Monotone Mappings; Economic Equilibrium Problems; Numerical Experiments with Test Problems; Auxiliary Results.- Feasible Quasi-Nonexpansive Mappings; Error Bounds for Linearly Constrained Problems; A Relaxation Subgradient Method Without Linesearch

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