โ Scribed by George Isac (auth.)
No coin nor oath required. For personal study only.
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.
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
Systems Theory, Control; Calculus of Variations and Optimal Control; Optimization; Economic Theory; Operations Research/Decision Theory
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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 fix
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