| Article ID: | iaor20134140 |
| Volume: | 56 |
| Issue: | 4 |
| Start Page Number: | 1501 |
| End Page Number: | 1513 |
| Publication Date: | Aug 2013 |
| Journal: | Journal of Global Optimization |
| Authors: | Huang X |
| Keywords: | penalty functions, global convergence |
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.