JNCA: Exact penalty in constrained optimization and critical points of Lipschitz functions



	Volume 10, Number 1, April 2009, pp. 149-156
Alexander J. Zaslavski
Key words:
Approximate solution, critical point, Ekeland's variational principle, minimization problem, Mordukhovich basic subdifferential, penalty function
Mathematices Subject Classification: 49M30, 90C26, 90C30

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	Abstract:
	In this paper we use the penalty approach to study two constrained minimization problems in infinite-dimensional Asplund spaces. 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 establish a simple sufficient condition for exact penalty property using the notion of the Mordukhovich basic subdifferential.

Exact penalty in constrained optimization and critical points of Lipschitz functions