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Isotone projection cones in Hilbert spaces and the complementarity problem. (English) Zbl 0719.46011
Summary: One defines and studies the concept of isotone projection cone in a Hilbert space H. The isotone projection cone is a closed and convex cone \(K\subset H\) such that the metric projection \(P_ k\) is isotone with respect to the order defined by K. One gives some applications to the study of the complementarity problem.

MSC:
46C05 Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product)
91A99 Game theory
49J99 Existence theories in calculus of variations and optimal control
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