Nonsmooth generalized complementarity as unconstrained optimization
The author considers the generalized complementarity problem with the underlying functionsbeing \(H\)-differentiable. He derives some conditions on the \(H\)-differentials of the given functions under which minimizing a merit function corresponding to such functions leads to a solution of the generalized complementarity problem. He derives conditions on the underlying functions of the generalized complementarity problem to get a solution by introducing the concepts of relative monotonicity and \(P_0\)-property and their variants.
scientific article; zbMATH DE number 5717714