LOCAL SOLUTIONS OF CONSTRAINED MINIMIZATION PROBLEMS AND CRITICAL POINTS OF LIPSCHITZ FUNCTIONS
Alexander J. Zaslavski · Taiwanese Journal of Mathematics · 2011
In this paper we use the penalty approach in order to study two constrained nonconvex minimization problems with locally Lipschitzian objective and constraint functions in a Banach space. We show that a local minimizer of the constrained minimization problem which is not a critical point of the constraint function is also a local minimizer of a corresponding unconstrained penalized problem if a penalty coefficient is large enough.