On continuous approximations for multifunctions
On continuous approximations for multifunctions
Problems concerning the approximation of convex valued multifunctions by continuous ones are considered.Approximation results of the type obtained by GeΓman, Cellina, and Hukuhara for Pompeiu-Hausdorff upper semicontinuous multifunctions are shown to hold for some larger classes of multifunctions.Moreover, it is proved that Pompeiu-Hausdorff semicontinuous multifunctions, with convex bounded values, are …