Leray-Schauder Type Alternatives, Complemantarity Problems and Variational Inequalities

George Isac (auth.)9780387329000, 0387329005, 038732898X, 9780387328980

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.

Audience

This book is intended for researchers and advanced graduate students in optimization, applied nonlinear analysis, complementarity theory, the theory of variational inequalities, and operations research.

Table of contents :
Preliminary Notions….Pages 1-47
Complementarity Problems and Variational Inequalities….Pages 49-70
Leray-Schauder Alternatives….Pages 71-107
The Origin of the Notion of Exceptional Family of Elements….Pages 109-136
Leray-Schauder Type Alternatives. Existence Theorems….Pages 137-223
Infinitesimal Exceptional Family of Elements….Pages 225-246
More about the Notion of Exceptional Family of Elements….Pages 247-277
Exceptional Family of Elements and Variational Inequalities….Pages 279-312