Overview
- Presents a new kind of application for the Leray–
- Schauder principle
- Includes supplementary material: sn.pub/extras
Part of the book series: Nonconvex Optimization and Its Applications (NOIA, volume 87)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
Keywords
About this book
Complementarity theory, a relatively new domain in applied mathematics, has deep connections with several aspects of fundamental mathematics and also has many applications in optimization, economics and engineering. The study of variational inequalities is another domain of applied mathematics with many applications to the study of certain problems with unilateral conditions. This book is the first to discuss complementarity theory and variational inequalities using Leray–Schauder type alternatives. The ideas and method presented in this book may be considered as a starting point for new developments.
Reviews
From the reviews:
"The author of this book is one of the leading specialists in both the theory and applications of complementarity problems … . The book will be of interest to specialists in applied nonlinear analysis, variational inequalities, complementarity theory, equilibrium theory, and operations research. It may also be used to get a glimpse of the diversity of the directions in which current research in this field is still moving." (Jürgen Appell, Zentralblatt MATH, Vol. 1095 (21), 2006)
"The reviewed monograph studies various classes of complementarity problems and variational inequalities using a unified approach based upon the Leray-Schauder alternative and the concept of an exceptional family of elements (EFE). … The book is written in a very clear and mathematically rigorous manner, and it is strongly recommended to researchers, postgraduate and graduate students interested in the variational inequality and complementarity problems." (Vyacheslav V. Kalashnikov, Mathematical Reviews, Issue 2007 b)
Authors and Affiliations
Bibliographic Information
Book Title: Leray–Schauder Type Alternatives, Complementarity Problems and Variational Inequalities
Authors: George Isac
Series Title: Nonconvex Optimization and Its Applications
DOI: https://doi.org/10.1007/0-387-32900-5
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag US 2006
Hardcover ISBN: 978-0-387-32898-0Published: 05 May 2006
Softcover ISBN: 978-1-4899-8906-2Published: 04 December 2014
eBook ISBN: 978-0-387-32900-0Published: 18 August 2006
Series ISSN: 1571-568X
Edition Number: 1
Number of Pages: XIV, 338
Topics: Optimization, Functional Analysis, Applications of Mathematics, Game Theory, Economics, Social and Behav. Sciences