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Topological Methods in Complementarity Theory
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Catalogue Information
Field name
Details
Dewey Class
519.6
Title
Topological Methods in Complementarity Theory ([EBook] /) / by George Isac.
Author
Isac, George
Other name(s)
SpringerLink (Online service)
Publication
Boston, MA : : Springer US : : Imprint: Springer, , 2000.
Physical Details
XIII, 686 p. 1 illus. : online resource.
Series
Nonconvex Optimization and Its Applications
1571-568X ; ; 41
ISBN
9781475731415
Summary Note
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.:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4757-3141-5
Links to Related Works
Subject References:
Calculus of variations
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Calculus of variations and optimal control; optimization
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Economic theory
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Economic Theory/Quantitative Economics/Mathematical Methods
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Game Theory
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Game Theory, Economics, Social and Behav. Sciences
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Mathematical Modeling and Industrial Mathematics
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Mathematical models
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Mathematical optimization
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Mathematics
.
Optimization
.
Authors:
Isac, George
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Corporate Authors:
SpringerLink (Online service)
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Series:
Nonconvex Optimization and Its Applications
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Classification:
519.6
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