Overview

The aim of this book is to cover the three fundamental aspects of research in equilibrium problems: the statement problem and its formulation using mainly variational methods; its theoretical solution by means of classical and new variational tools; and the calculus of solutions and applications in concrete cases. The book shows how many equilibrium problems follow a general law (the so-called user equilibrium condition). Such law allows us to express the problem in terms of variational inequalities. Variational inequalities provide a powerful methodology, by which existence and calculation of the solution can be obtained.

Full Product Details

Author:   F. Giannessi ,  A. Maugeri ,  Panos M. Pardalos
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2001 ed.
Volume:   58
Dimensions:   Width: 15.50cm , Height: 1.90cm , Length: 23.50cm
Weight:   1.380kg
ISBN:  

9781402001611

ISBN 10:   1402001614
Pages:   304
Publication Date:   31 January 2002
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

On the Numerical Solution of Finite-Dimensional Variational Inequalities by an Interior Point Method.- Fixed Points in Ordered Banach Spaces and Applications to Elliptic Boundary-Value Problems.- A Theorem of the Alternative for Linear Control Systems.- Variational Inequalities for Static Equilibrium Market. Lagrangean Function and Duality.- On Dynamical Equilibrium Problems and Variational Inequalities.- Nonlinear Programming Methods for Solving Optimal Control Problems.- Optimal Flow Pattern in Road Networks.- On the Strong Solvability of a Unilateral Boundary Value Problem for Nonlinear Discontinuous Operators in the Plane.- Most Likely Traffic Equilibrium Route Flows Analysis and Computation.- Existence of Solutions to Bilevel Variational Problems in Banach Spaces.- On the Existence of Solutions to Vector Optimization Problems.- Equilibrium Problems and Variational Inequalities.- Axiomatization for Approximate Solutions in Optimization.- Necessary and Sufficient Conditions of Wardrop Type for Vectorial Traffic Equilibria.- Approximate Solutions and Tikhonov Well-Posedness for Nash Equilibria.- Equilibrium in Time Dependent Traffic Networks with Delay.- New Results on Local Minima and Their Applications.- An Overview on Projection-Type Methods for Convex Large-Scale Quadratic Programs.

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