The study of complementarity problems is now an interesting mathematical subject with many applications in optimization, game theory, stochastic optimal control, engineering, economics etc. This subject has deep relations with important domains of fundamental mathematics such as fixed point theory, ordered spaces, nonlinear analysis, topological degree, the study of variational inequalities and also with mathematical modeling and numerical analysis. Researchers and graduate students interested in mathematical modeling or nonlinear analysis will find here interesting and fascinating results.
Author(s): George Isac (auth.)
Series: Lecture Notes in Mathematics 1528
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1992
Language: English
Pages: 300
City: Berlin; New York
Tags: Systems Theory, Control; Calculus of Variations and Optimal Control; Optimization; Economic Theory; Operations Research/Decision Theory
Introduction....Pages 1-3
Preliminaries and defintions of principal complementarity problems....Pages 4-15
Models and applications....Pages 16-51
Equivalences....Pages 52-69
Exitence theorems....Pages 70-138
The order complementarity problem....Pages 139-161
The implicit complementarity problem....Pages 162-195
Isotone projection cones and complementarity....Pages 196-219
Topics on complementarity problems....Pages 220-269
Errata....Pages e1-e2
