Browsing Preprints aus dem Institut für Mathematik by Subject "selections"

Now showing items 1-3 of 3

2005-11-14Buch

Approximations, Expansions and Univalued Representations of Multifunctions

Dentcheva, Darinka

We consider multifunctions acting between two linear normed spaces and having closed convex images. Approximations are considered which serve as an expansion of it. Generalized delta theorems for random sets in infinite ...
2005-11-16Buch

Differentiable Selections of Set-Valued Mappings and Asymptotic Behavior of Random Sets in Infinite Dimensions

Dentcheva, Darinka

We consider set-valued mappings acting between two linear normed spaces and having convex closed images. Our aim is to construct selections with directional differentiability properties up to the second order, using certain ...
1998-05-29Buch

Regular Castaing Representations of Multifunctions with Applications to Stochastic Programming

Dentcheva, Darinka

We consider set-valued mappings defined on a topological space with convex closed images in $\R^n$. The measurability of a multifunction is characterized by the existence of a Castaing representation for it: a countable ...