On multifunction transforms of probability measures (Q1896456)

A multifunction \(F:X\to Y\) generates a multifunction \(\widetilde F\) acting between the sets of all Radon probability measures on \(X\) and \(Y\), resp., equipped with weak topology. Such construction preserves upper semicontinuity (usc), as Topsøe has shown. By using this fact it is proved a delta theorem for compact-valued usc multifunctions acting between separable Fréchet spaces. The parametric optimization problem is also discussed.