Well-posedness and scalarization in vector optimization
Enrico Miglierina, Elena Molho, Rocca Matteo · RePEc: Research Papers in Economics
In this paper we study several existing notions of well-posedness for vector optimization problems. We distinguish them into two classes and we establish the hierarchical structure of their relationships. Moreover, we relate vector well-posedness and well-posedness of an appropriate scalarization. This approach allows us to show that, under some compactness assumption, quasiconvex problems are well-posed.