Finite-Dimensional Variational Inequalities and Complementarity Problems

Francisco Facchinei, Jong-Shi Pang

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English

Springer Verlag
01 June 2003

Mathematics & Sciences; Calculus of variations

Series: Springer Series in Operations Research and Financial Engineering

This two volume work presents a comprehensive treatment of the finite dimensional variational inequality and complementarity problem, covering the basic theory, iterative algorithms, and important applications. The authors provide a broad coverage of the finite dimensional variational inequality and complementarity problem beginning with the fundamental questions of existence and uniqueness of solutions, presenting the latest algorithms and results, extending into selected neighboring topics, summarizing many classical source problems, and suggesting novel application domains. This first volume contains the basic theory of finite dimensional variational inequalities and complementarity problems. This book should appeal to mathematicians, economists, and engineers working in the field.

A set price of EUR 199 is offered for volume I and II bought at the same time. Please order at: orders@springer.de

By: Francisco Facchinei, Jong-Shi Pang
Imprint: Springer Verlag
Country of Publication: United States
Dimensions: Height: 235mm, Width: 155mm, Spine: 39mm
Weight: 1.346kg
ISBN: 9780387955803
ISBN 10: 0387955801
Series: Springer Series in Operations Research and Financial Engineering
Pages: 728
Publication Date: 01 June 2003
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Solution Analysis I.- Solution Analysis II.- The Euclidean Projector and Piecewise Functions.- Sensitivity and Stability.- Theory of Error Bounds.

Reviews for Finite-Dimensional Variational Inequalities and Complementarity Problems

"From the reviews: ""The first volume consists of the first six chapters, which present the basic theory of VIs and CPs. ... Besides the main text, each chapter contains (a) an extensive set of exercises … and (b) a set of notes and comments that document historical accounts, give the sources for the results in the main text, and provide discussions and references on related topics and extensions. … The book is written very well and is an important contribution to the fields of VIs and CPs."" (Jürgen Guddat, Zentralblatt MATH, Vol. 1062 (13), 2005) ""This … monograph presents a comprehensive and state-of-the-art treatment of variational inequalities (VI) in finite dimensions. … The presentation is clear, consistent, and essentially self-contained. The book contains a lot of new research material and recent results … . The discussion of related literature is a mine both for researchers and new comers … . the book is of high value not only for specialists, but for a wide range of readers … . It may recommended both for researchers and advanced students … ."" (Diethard Klatte, OR-News, March, 2005) ""Represents a successful endeavour resulting in a valuable source for researchers, advanced graduates, and for practitioners with an applied mathematics background. It will also well augment a library’s section on variational inequalities (VIs) and complementarity problems (CPs). … merits of the book include the motivation and guideline at the beginning of each chapter, a variety of exercises, further discussion in the form of notes and comments and pointers to the relevant literature at the end of each chapter, and a comprehensive reference list … ."" (M Hintermueller, Journal of the Operational Research Society, Vol. 55 (9), 2004) ""This … monograph, written for novice and expert researchers and advanced graduate students in a wide range of disciplines, presents a comprehensive, state-of-the-art treatment of the finite-dimensional variational inequality and complementarity problem … . It includes every major aspect of VI/CP … including novel application domains."" (Quarterly of Applied Mathematics, Vol. LXI (3), 2003)"