Calmness and Exact Penalization in Constrained Scalar Set-Valued Optimization
In this paper, we study a class of constrained scalar set-valued optimization problems, which includes scalar optimization problems with cone constraints as special cases. We introduce (local) calmness of order? for this class of constrained scalar set-valued optimization problems. We show that the (local) calmness of order? is equivalent to the existence of a (local) exact set-valued penalty map.
calmness exact penalization constrained scalar set-valued optimization