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Book cover of Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models
Mathematics, Vector Analysis

Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models

by F. Giannessi (Editor), A. Maugeri (Editor), P.M. Pardalos
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Synopsis

The aim of the 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, 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.

Booknews

The aim of this book is to cover fundamental aspects of research on equilibrium problems. Treatment encompasses the statement of the problem and its formulation using mainly variational methods, the problem's theoretical solution by means of classic and new variational tools, the calculus of solutions, and applications. Many equilibrium problems, such as the Signorini problem, the obstacle problem, the discrete and continuous traffic equilibrium problem, and the spatial price equilibrium problem, are shown to follow a general law, the user equilibrium condition. Some of this material originated at a December 1998 conference held in Taormina. A subject index is missing. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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Book Details

Published
January 1, 2008
Publisher
Springer-Verlag New York, LLC
Format
Hardcover
ISBN
9781402001611

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