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1998-05-29Buch DOI: 10.18452/2676
Regular Castaing Representations of Multifunctions with Applications to Stochastic Programming
dc.contributor.authorDentcheva, Darinka
dc.date.accessioned2017-06-15T17:56:42Z
dc.date.available2017-06-15T17:56:42Z
dc.date.created2005-11-11
dc.date.issued1998-05-29
dc.identifier.issn0863-0976
dc.identifier.urihttp://edoc.hu-berlin.de/18452/3328
dc.description.abstractWe 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 set of measurable selections that pointwise fill up the graph of the multifunction. Our aim is to construct a Castaing representation which inherits the regularity properties of the multifunction. The construction uses Steiner points. A notion of a generalized Steiner point is introduced. A Castaing representation called regular is defined by using generalized Steiner selections. All selections are measurable, continuous, resp. Hölder-continuous, or directionally differentiable, if the multifunction has the corresponding properties. The results are applied to various multifunctions arising in stochastic programming. In particular, statements about the asymptotic behavior of measurable selections of solution sets via the delta-method are obtained.eng
dc.language.isoeng
dc.publisherHumboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subjectSteiner centereng
dc.subjectCastaing representationeng
dc.subjectstochastic programseng
dc.subjectselectionseng
dc.subjectrandom setseng
dc.subjectdelta-theoremseng
dc.subject.ddc510 Mathematik
dc.titleRegular Castaing Representations of Multifunctions with Applications to Stochastic Programming
dc.typebook
dc.identifier.urnurn:nbn:de:kobv:11-10053480
dc.identifier.doihttp://dx.doi.org/10.18452/2676
local.edoc.container-titlePreprints aus dem Institut für Mathematik
local.edoc.pages24
local.edoc.type-nameBuch
local.edoc.container-typeseries
local.edoc.container-type-nameSchriftenreihe
local.edoc.container-volume1998
local.edoc.container-issue8
local.edoc.container-year1998
local.edoc.container-erstkatid2075199-0

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