Sufficient conditions for exact penalty in constrained optimization

In this paper we use the penalty approach in order to study constrained minimization problems. A penalty function is said to have the exact penalty property if there is a penalty coefficient for which a solution of an unconstrained penalized problem is a solution of the corresponding constrained problem. We discuss very simple sufficient conditions for the exact penalty property. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)