Complementarity problems / George Isac
Type de document : Livre numériqueCollection : Lecture notes in mathematics, 1528Langue : anglais.Éditeur : Berlin : Springer-Verlag, 1992ISBN: 9783540562511.ISSN: 1617-9692.Sujet MSC : 90C33, Mathematical programming, Complementarity and equilibrium problems and variational inequalities47N10, Miscellaneous applications of operator theory, Applications in optimization, convex analysis, mathematical programming, economics
49J40, Existence theories in calculus of variations and optimal control, Variational inequalities
58E25, Global analysis, analysis on manifolds, Applications of variational problems to control theory
90C20, Mathematical programming, Quadratic programmingEn-ligne : Springerlink | Zentralblatt | MathSciNet
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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