Stability in vector-valued and set-valued optimization

In this paper, we discuss the stability of the sets of efficient points of vector-valued and set-valued optimization problems when the data (E n ,f n ) (resp. (E n , F n )) of the approximate problems converge to the data (E, f) (resp. (E, F)) of the original problem in the sense of Painleve-Kuratowski or Mosco. Our results improve and generalize those obtained by Attouch and Riahi in Section 5 in [1]. Copyright Springer-Verlag Berlin Heidelberg 2000