Topological Methods in Complementarity Theory / Edition 1

Topological Methods in Complementarity Theory / Edition 1

by G. Isac
     
 

ISBN-10: 1441948287

ISBN-13: 9781441948281

Pub. Date: 11/30/2013

Publisher: Springer US

"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…  See more details below

Overview

"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."--BOOK JACKET.

Product Details

ISBN-13:
9781441948281
Publisher:
Springer US
Publication date:
11/30/2013
Series:
Nonconvex Optimization and Its Applications (closed) Series, #41
Edition description:
Softcover reprint of hardcover 1st ed. 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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