Nonsmooth generalized complementarity as unconstrained optimization (Q974730)
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scientific article; zbMATH DE number 5717714
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonsmooth generalized complementarity as unconstrained optimization |
scientific article; zbMATH DE number 5717714 |
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Nonsmooth generalized complementarity as unconstrained optimization (English)
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7 June 2010
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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.
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merit function
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generalized complementarity problem
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generalized Jacobian
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locally Lipschitzian
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semismooth-function
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\(H\)-differentiability
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