Exact Penalty Property in Optimization with Mixed Constraints via Variational Analysis
Alexander J. Zaslavski · SIAM Journal on Optimization · 2013
In this paper we use the penalty approach in order to study constrained minimization problems in infinite-dimensional Asplund spaces with nonsmooth nonconvex mixed constraints. 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. In this paper we establish sufficient conditions for the exact penalty properties using the notion of the Mordukhovich basic subdifferential.