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

Papageorgiou, NS

dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:08:27Z
dc.date.available	2014-03-01T01:08:27Z
dc.date.issued	1991	en
dc.identifier.issn	0253-4142	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10504
dc.subject	Hausdorff metric	en
dc.subject	Kuratowski-Mosco convergence	en
dc.subject	set valued martingale	en
dc.subject	set valued Radon-Nikodym derivative	en
dc.subject	support function	en
dc.subject	Weak convergence of sets	en
dc.subject.classification	Mathematics	en
dc.title	On the convergence properties of measurable multifunctions with values in a separable Banach space	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF02868017	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF02868017	en
heal.language	English	en
heal.publicationDate	1991	en
heal.abstract	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
heal.publisher	Springer India	en
heal.journalName	Proceedings of the Indian Academy of Sciences - Mathematical Sciences	en
dc.identifier.doi	10.1007/BF02868017	en
dc.identifier.isi	ISI:A1991GE21700001	en
dc.identifier.volume	101	en
dc.identifier.issue	2	en
dc.identifier.spage	63	en
dc.identifier.epage	70	en