Author	Isac, George. author
Title	Topological Methods in Complementarity Theory [electronic resource] / by George Isac
Imprint	Boston, MA : Springer US : Imprint: Springer, 2000
Connect to	http://dx.doi.org/10.1007/978-1-4757-3141-5
Descript	XIII, 686 p. 1 illus. online resource

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

1 Convex Cones -- 2 Complementarity Problems. Origin and Definitions -- 3 Complementarity Problems 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 -- Bibliography (Complementarity problems) -- Glossary of Notation

1. Mathematics
2. Game theory
3. Mathematical models
4. Mathematical optimization
5. Calculus of variations
6. Economic theory
7. Mathematics
8. Optimization
9. Mathematical Modeling and Industrial Mathematics
10. Economic Theory/Quantitative Economics/Mathematical Methods
11. Calculus of Variations and Optimal Control; Optimization
12. Game Theory
13. Economics
14. Social and Behav. Sciences