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AuthorIsac, George. author
TitleTopological Methods in Complementarity Theory [electronic resource] / by George Isac
ImprintBoston, MA : Springer US : Imprint: Springer, 2000
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Descript XIII, 686 p. 1 illus. online resource


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


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

Mathematics Game theory Mathematical models Mathematical optimization Calculus of variations Economic theory Mathematics Optimization Mathematical Modeling and Industrial Mathematics Economic Theory/Quantitative Economics/Mathematical Methods Calculus of Variations and Optimal Control; Optimization Game Theory Economics Social and Behav. Sciences


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