Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models / Edition 1

Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models / Edition 1

by Franco Giannessi
     
 

ISBN-10: 1402001614

ISBN-13: 9781402001611

Pub. Date: 01/31/2002

Publisher: Springer US

The aim of the book is to cover the three fundamental aspects of resea rch in equilibrium problems: the statement problem and its formulation using mainly variational methods, its theoretical solution by means o f classical and new variational tools, the calculus of solutions and a pplications in concrete cases. The book shows how many equilibrium pro blems

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Overview

The aim of the book is to cover the three fundamental aspects of resea rch in equilibrium problems: the statement problem and its formulation using mainly variational methods, its theoretical solution by means o f classical and new variational tools, the calculus of solutions and a pplications in concrete cases. The book shows how many equilibrium pro blems follow a general law (the so-called user equilibrium condition). Such law allows us to express the problem in terms of variational ine qualities. Variational inequalities provide a powerful methodology, by which existence and calculation of the solution can be obtained. Aud ience: Advanced students and researchers.

Product Details

ISBN-13:
9781402001611
Publisher:
Springer US
Publication date:
01/31/2002
Series:
Nonconvex Optimization and Its Applications (closed) Series, #58
Edition description:
2001
Pages:
304
Product dimensions:
6.10(w) x 9.25(h) x 0.24(d)

Table of Contents

Preface.
On the numerical solution of finite-dimensional variational inequalities by an interior point method; S. Bellavia, M.G. Gasparo.
Fixed points in ordered Banach spaces and applications to elliptic boundary-value problems; G. Bonanno, S. Marano.
A theorem of the alternative for linear control systems; P. Cubiotti.
Variational inequalities for static equilibrium market. Lagrangean function and duality; P. Daniele.
On dynamical equilibrium problems and variational inequalities; P. Daniele, A. Maugeri.
Nonlinear programming methods for solving optimal control problems; C. Durazzi, E. Galligani.
Optimal flow pattern in road networks; P. Ferrari.
On the strong solvability of a unilateral boundary value problem for nonlinear discontinuous operators in the plane; S. Giuffrè.
Most likely traffic equilibrium route flows analysis and computation; T. Larsson, et al.
Existence of solutions to bilevel variational problems in Banach spaces; M.B. Lignola, J. Morgan.
On the existence of solutions to vector optimization problems; G. Mastroeni, M. Pappalardo.
Equilibrium problems and variational inequalities; A. Maugeri.
Axiomatization for approximate solutions in optimization; H. Norde, F. Patrone.
Necessary and sufficient conditions of Wardrop type for vectorial traffic equilibria; W. Oettli.
Approximate solutions and Tikhonov well-posedness for Nash equilibria; L.P. Chicco.
Equilibrium in time dependent traffic networks with delay; F. Raciti.
New results on local minima and their applications; B. Ricceri.
An overview on projection-type methods for convex large-scale quadratic programs; V. Ruggiero, L. Zanni.

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