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, economicengineering, mechanics, fluid mechanics, stochastic optimal control etc. Thebook 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. INDICE: Preface. 1. Convex Cones. 2. Complementarity Problems. Origin andDefinitions. 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 andComplementarity. 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.
- ISBN: 978-1-4419-4828-1
- Editorial: Springer
- Encuadernacion: Rústica
- Fecha Publicación: 31/03/2012
- Nº Volúmenes: 1
- Idioma: Inglés