Equivalence of variational inequality problems to unconstrained minimization

@article{Peng1997EquivalenceOV,
  title={Equivalence of variational inequality problems to unconstrained minimization},
  author={Ji-Ming Peng},
  journal={Math. Program.},
  year={1997},
  volume={77},
  pages={347-355}
}
In this paper we propose a class of merit functions for variational inequality problems (VI). Through these merit functions, the variational inequality problem is east as unconstrained minimization problem. We estimate the growth rate of these merit functions and give conditions under which the stationary points of these functions are the solutions of VI. © 1997 The Mathematical Programming Society, Inc. Pubfished by Elsevier Science B.V.