On multifunction transforms of probability measures.

The paper briefly presents Topsøe's setup and gives two results based on that. A delta theorem for multifunctions improving that of King [2] is given. In particular, the contingent derivative may be a compact-valued instead of a single-valued multifunction. Stochastic optimization is also discussed. Some results are achieved for the limit distribution of optimal values as well as of optimal solutions. [ABSTRACT FROM AUTHOR]