SUFFICIENT CONDITIONS FOR THE EXACT PENALTY PROPERTY OF CONSTRAINED MINIMIZATION IN HILBERT SPACES

Abstract

We use the penalty methods in order to study two constrained minimization problems in Hilbert spaces. A penalty function is said to have the exact penalty property if there is a penalty coe±cient for which a solution of an unconstrained penalized problem is a solution of the corresponding constrained problem. We establish simple sufficient conditions for the exact penalty property.