The generalized order complementarity problem

摘要: Given an ordered Banach Space (E,K) andm functionsf 1,f 2,...,f m:E→E, the generalized order complementarity problem associated with {f i} andK is to findx 0∈K such thatf i(x 0)∈K,i=1,...,m, and Λ (x 0,f 1(x 0),...,f m(x 0))=0. The shown be equivalent several fixed-point problems studied by Borwein Dempster Isac. Existence uniqueness of solutions least-element theory are in spacesC(Ω, ℝ) andL p(Ω, μ). For general locally convex spaces, derived, existence proved, algorithm for computing a solution presented. Applications mixed lubrication fluid mechanics described.