Topological methods in complementarity theory
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Bibliographic Information
Topological methods in complementarity theory
（Nonconvex optimization and its applications, v. 41）
Kluwer Academic Publishers, c2000
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Includes bibliographical references (p. [635]-675) and indexes
Description and Table of Contents
Description
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.
Table of Contents
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.
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