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

 
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Journal part (EN)
Scientific article (EN)
1991 (EN)
On the convergence properties of measurable multifunctions with values in a separable Banach space (EN)
Papageorgiou, NS (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 (EN)
support function (EN)
Weak convergence of sets (EN)
Kuratowski-Mosco convergence (EN)
Mathematics (EN)
Hausdorff metric (EN)
set valued martingale (EN)
set valued Radon-Nikodym derivative (EN)
National Technical University of Athens
Digital Library of National Technical University of Athens | Dspace@NTUA
Κεντρική Βιβλιοθήκη Ε.Μ.Π.
Ιδρυματικό Αποθετήριο
Δημοσιεύσεις μελών Δ.Ε.Π. σε περιοδικά
Proceedings of the Indian Academy of Sciences - Mathematical Sciences (EN)
English
1991 (EN)
http://hdl.handle.net/123456789/10504
101 (EN)
2 (EN)
ISI:A1991GE21700001 (EN)
70 (EN)
0253-4142 (EN)
10.1007/BF02868017 (EN)
63 (EN)
Springer India (EN)



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