Regularity Properties of a Semismooth Reformulation of Variational Inequalities

  title={Regularity Properties of a Semismooth Reformulation of Variational Inequalities},
  author={Francisco Facchinei and Andreas Fischer and Christian Kanzow},
  journal={SIAM Journal on Optimization},
Variational inequalities over sets defined by systems of equalities and inequalities are considered. A new reformulation of the KKT-conditions of the variational inequality as a system of equations is proposed. A related unconstrained minimization reformulation is also investigated. As a by-product of the analysis, a new characterization of strong regularity of KKT-points is given. 
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