Semicontinuity of vector-valued mappings
Mohamed Mansour, C. Malivert, Michel A. Théra · Optimization · 2006
We first provide, for a given vector-valued mapping f, a lower semicontinuous (l.s.c.) regularization. Further, we present a new characterization of lower semicontinuity, from which we derive some other type of l.s.c. regularizations. A quasi-l.s.c. regularization is thereafter presented.