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Complementarity Problems : Lecture Notes in Mathematics - George Isac

Complementarity Problems

Lecture Notes in Mathematics

Paperback Published: 14th December 1992
ISBN: 9783540562511
Number Of Pages: 300

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The study of complementarity problems is now an interestingmathematical subject with many applications in optimization,game theory, stochastic optimal control, engineering,economics etc.This subject has deep relations with important domains offundamental mathematics such as fixed point theory, orderedspaces, nonlinear analysis, topological degree, the study ofvariational inequalities and also with mathematical modelingand numerical analysis.Researchers and graduate students interested in mathematicalmodeling or nonlinear analysis will find here interestingand fascinating results.

Introductionp. 1
Preliminaries and Definitions of Principal Complementarity Problemsp. 4
Models and Applicationsp. 16
Mathematical programmingp. 16
Game theoryp. 24
Variational inequalities and complementarityp. 28
Mechanics and complementarityp. 29
Maximizing oil productionp. 38
Complementarity problems in economicsp. 39
Equilibrium of traffic flowsp. 48
The linear complementarity problem and circuit simulationp. 50
Complementarity and fixed pointp. 50
Equivalencesp. 52
Existence Theoremsp. 70
Boundedness of the solution setp. 70
Feasibility and solvabilityp. 87
General existence theoremsp. 116
The Order Complementarity Problemp. 139
The linear order complementarity problemp. 140
The generalized order complementarity problemp. 146
The Implicit Complementarity Problemp. 162
The implicit complementarity problem and the fixed point theoryp. 163
The implicit complementarity problem and a special variational inequalityp. 169
The implicit complementarity problem and coincidence equations on convex conesp. 182
Isotone Projection Cones and Complementarityp. 196
Isotone projection conesp. 196
Isotone projection cones and the complementarity problemp. 203
Mann's iterations and the complementarity problemp. 212
Projective metrics and the complementarity problemp. 214
Topics on Complementarity Problemsp. 220
The basic theorem of complementarityp. 220
The multivalued order complementarity problemp. 226
Some classes of matrices and the linear complementarity problemp. 229
Some results about the cardinality of solution setp. 237
Alternative theorems and complementarity problemsp. 244
Again on the implicit complementarity problemp. 249
Some new complementarity problemsp. 256
Some special problemsp. 260
Bibliographyp. 270
Subject Indexp. 295
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783540562511
ISBN-10: 3540562516
Series: Lecture Notes in Mathematics
Audience: General
Format: Paperback
Language: English
Number Of Pages: 300
Published: 14th December 1992
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 1.63
Weight (kg): 0.43