Topological Methods in Complementarity TheoryComplementarity 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
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EQUIVALENCES 181 | 180 |
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CHAPTER 6 | 365 |
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CHAPTER 11 | 603 |
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GLOSSARY OF NOTATION | 677 |
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Common terms and phrases
applications arbitrary element Banach space bounded closed convex cone closed pointed convex compact complementarity theory consider continuous mapping convergent convex set Corollary Cottle deduce defined Definition denote equation equilibrium equivalent Euclidean space exceptional family exists family of elements feasible finite fixed point following result function Galerkin cone Gowda Hence Hilbert space implicit complementarity problem implies Isac isotone isotone projection K₁ Kostreva LCP(A least element Let f Let H linear complementarity problem locally convex space mapping f mapping ƒ Math mathematical matrix monotone n}EN nonlinear complementarity problem norm obtain operator Optimization order complementarity problem P-matrix Pang pointed convex cone problem NCP(f Programming projection cones Proposition real number respect sequence set-valued mapping solution set solvability Suppose T₁ T₂ Theorem topological space topological vector space variational inequality vector lattice weakly x₁ y₁ zero