Topological Methods in Complementarity Theory

Complementarity theory is a new domain in applied mathematics and is concerned with the study of complementarity problems. These problems represent a wide class of mathematical models related to optimization, game theory, economic engineering, mechanics, fluid mechanics, stochastic optimal control etc. The book is dedicated to the study of nonlinear complementarity problems by topological methods. Audience: Mathematicians, engineers, economists, specialists working in operations research and anybody interested in applied mathematics or in mathematical modeling.

Preface. 1. Convex Cones. 2. Complementarity
Problems. Origin and Definitions. 3. Complementarity Problem as
Mathematical Models. 4. Equivalences. 5. Topics on
Solvability. 6. Topological Degree and Complementarity. 7.
Zero-epi Mappings and Complementarity. 8. Exceptional Family of
Elements and Complementarity. 9. Conditions (S)+ and
(S)1+: Applications to Complementarity Theory. 10. Fixed
Points, Coincidence Equations on Cones and Complementarity. 11.
Other Topological Results in Complementarity Theory. References.
Bibliography (Complementarity problems). Glossary of Notation. Index.