On the Construction of Gap Functions for Variational Inequalities via Conjugate duality

@article{Altangerel2007OnTC,
  title={On the Construction of Gap Functions for Variational Inequalities via Conjugate duality},
  author={Lkhamsuren Altangerel and Radu Ioan Boţ and Gert Wanka},
  journal={APJOR},
  year={2007},
  volume={24},
  pages={353-371}
}
In this paper, we deal with the construction of gap functions for variational inequalities by using an approach which bases on the conjugate duality. Under certain assumptions we also investigate a further class of gap functions for the variational inequality problem, the so-called dual gap functions.