Complementarity problems / George Isac

Auteur: Isac, George - AuteurType de document: Livre numériqueCollection: Lecture notes in mathematics, (Online) ; 1528Langue: anglaisÉditeur: Berlin : Springer-Verlag, 1992 ISBN: 9783540562511 Note: These lecture notes represent several lectures given in 1984 at the Department of Mathematics of the University of Limoges ...Chapter 1 presents the preliminary definitions and the definition of the principal complementarity problem. Chapter 2 covers in some detail several important models that can be treated as complementarity problems. Chapter 3 considers several mathematically equivalent problems, while Chapter 4 covers the general existence theory. Chapters 5 and 6 are devoted to the complementarity problem and the implicit complementarity problem, respectively. Chapter 7 considers the case of isotone cones and the complementarity problems. Finally, the last chapter is devoted to the study of several problems, including problems with multivalued mappings. (MathSciNet) Sujets MSC: 90C33 Operations research, mathematical programming -- Mathematical programming -- Complementarity and equilibrium problems and variational inequalities (finite dimensions)
47N10 Operator theory -- Miscellaneous applications of operator theory -- Applications in optimization, convex analysis, mathematical programming, economics
49J40 Calculus of variations and optimal control; optimization -- Existence theories -- Variational methods including variational inequalities
58E25 Global analysis, analysis on manifolds -- Variational problems in infinite-dimensional spaces -- Applications to control theory
90C20 Operations research, mathematical programming -- Mathematical programming -- Quadratic programming
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These lecture notes represent several lectures given in 1984 at the Department of Mathematics of the University of Limoges ...Chapter 1 presents the preliminary definitions and the definition of the principal complementarity problem. Chapter 2 covers in some detail several important models that can be treated as complementarity problems. Chapter 3 considers several mathematically equivalent problems, while Chapter 4 covers the general existence theory. Chapters 5 and 6 are devoted to the complementarity problem and the implicit complementarity problem, respectively. Chapter 7 considers the case of isotone cones and the complementarity problems. Finally, the last chapter is devoted to the study of several problems, including problems with multivalued mappings. (MathSciNet)

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