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- W1966702992 abstract "We consider generalized complementarity problem GCP$(f,g)$ when theunderlying functions $f$ and $g$ are $H$-differentiable. Wedescribe $H$-differentials of some GCP functions and theirmerit functions. We give some conditions on the $H$-differentialsof the given functions under which minimizing a merit functioncorresponding to such functions leads to a solution of thegeneralized complementarity problem. Further, we give someconditions on the functions $f$ and $g$ to get a solution ofGCP$(f,g)$ by introducing the concepts of relative monotonicity andP0-property and their variants. Our results further give aunified/generalization treatment of such results for the nonlinearcomplementarity problem when the underlying function is $C^1$ ,semismooth, and locally Lipschitzian." @default.
- W1966702992 created "2016-06-24" @default.
- W1966702992 creator A5041766787 @default.
- W1966702992 date "2010-01-01" @default.
- W1966702992 modified "2023-10-18" @default.
- W1966702992 title "Nonsmooth generalized complementarity as unconstrained optimization" @default.
- W1966702992 doi "https://doi.org/10.3934/jimo.2010.6.411" @default.
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