Topological Methods in Complementarity Theory / Edition 1

Topological Methods in Complementarity Theory / Edition 1

by G. Isac
     
 

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ISBN-10: 0792362748

ISBN-13: 9780792362746

Pub. Date: 03/31/2000

Publisher: Springer US

Complementarity theory is a new domain in applied mathematics and is c oncerned with the study of complementarity problems. These problems re present a wide class of mathematical models related to optimization, g ame theory, economic engineering, mechanics, fluid mechanics, stochast ic optimal control etc. The book is dedicated to the study of nonlinea r

Overview

Complementarity theory is a new domain in applied mathematics and is c oncerned with the study of complementarity problems. These problems re present a wide class of mathematical models related to optimization, g ame theory, economic engineering, mechanics, fluid mechanics, stochast ic optimal control etc. The book is dedicated to the study of nonlinea r complementarity problems by topological methods.

Product Details

ISBN-13:
9780792362746
Publisher:
Springer US
Publication date:
03/31/2000
Series:
Nonconvex Optimization and Its Applications (closed) Series, #41
Edition description:
2000
Pages:
686
Product dimensions:
6.10(w) x 9.25(h) x 0.06(d)

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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