Topological Methods in Complementarity Theory
Başlık:
Topological Methods in Complementarity Theory
ISBN:
9781475731415
Personal Author:
Edition:
1st ed. 2000.
Yayın Bilgileri:
New York, NY : Springer US : Imprint: Springer, 2000.
Fiziksel Tanımlama:
XIII, 686 p. 1 illus. online resource.
Series:
Nonconvex Optimization and Its Applications ; 41
Contents:
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.
Abstract:
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.
Ek Kurum Yazarı:
Dil:
English