Topological Methods in Complementarity Theory
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.
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applications arbitrary element bounded closed convex cone closed pointed convex compact complementarity theory consider continuous mapping convex set Corollary Cottle deduce defined Definition denote dual equation equilibrium equivalent Euclidean space exceptional family exists family of elements feasible find xoe finite fixed point following result function Galerkin cone Gowda Hence Hilbert space implicit complementarity problem implies Isac isotone projection Kostreva LCP(A least element Let E(t Let f Let H linear complementarity problem locally convex space mapping f Math mathematical matrix monotone nonlinear complementarity problem norm obtain operator Optimization order complementarity problem P-matrix Pang pointed convex cone problem NCP(f projection cones Proof Let Proposition real number respect sequence set-valued mapping SIAM ſº solution set solvable Theorem Theory Appl topological degree topological space topological vector space variational inequality vector lattice zero