Convergence of a class of penalty methods for constrained scalar set-valued optimization

• DOI: 10.1007/s10898-012-9910-7
• Publication Date: 2012-04-28T09:14:53Z
• Authors: X. X. Huang
• Keywords: Penalty Method; Equivalence relation

In this paper, we study a class of penalty methods for a class of constrained scalar set-valued optimization problems. We establish an equivalence relation between the lower semicontinuity at the origin of the optimal value function of the perturbed problem and the convergence of the penalty methods. Some sufficient conditions that guarantee the convergence of the penalty methods are also derived.