Topological Methods in Complementarity Theory

2000
ISBN: 978-0-7923-6274-6
Verlag: Springer US

Buch, Englisch, Band 41, 686 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 1209 g

Reihe: Nonconvex Optimization and Its Applications

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.

Zielgruppe

Research

Autoren/Hrsg.

Isac, G.

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Wirtschaftswissenschaften Volkswirtschaftslehre Volkswirtschaftslehre Allgemein Ökonometrie
• Mathematik | Informatik Mathematik Topologie
• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik
• Mathematik | Informatik Mathematik Operations Research

Inhaltsverzeichnis

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.