On the convergence properties of measurable multifunctions with values in a separable Banach space

 
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1991 (EN)
On the convergence properties of measurable multifunctions with values in a separable Banach space (EN)

Papageorgiou, NS (EN)

N/A (EN)

In this paper we prove some convergence theorems for Banach space valued multifunctions. First we consider the notion of weak convergence of sets and prove a weak completeness and a weak compactness result of the Dunford-Pettis type for weakly compact, convex valued integrable multifunctions. Then we consider set valued martingales and establish two convergence theorems. One using the Kuratowski-Mosco mode of convergence and for the other the Hausdorff mode. © 1991 Indian Academi of Sciences. (EN)

journalArticle

support function (EN)
Weak convergence of sets (EN)
Kuratowski-Mosco convergence (EN)
Hausdorff metric (EN)
set valued martingale (EN)
set valued Radon-Nikodym derivative (EN)

Εθνικό Μετσόβιο Πολυτεχνείο (EL)
National Technical University of Athens (EN)

Proceedings of the Indian Academy of Sciences - Mathematical Sciences (EN)

1991


Springer India (EN)



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