Generalized Delta Theorems for Multivalued Mappings and Measurable Selections

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/3195 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/3195 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/3195 archive 351 disk0/00/00/31/49 2016-01-15 01:59:00 2021-08-27 17:13:18 2016-01-15 01:59:00 monograph show 2 King A.J. AL1689 Generalized Delta Theorems for Multivalued Mappings and Measurable Selections pub iis_met prog_ado The classical delta theorem can be generalized in a mathematically satisfying way to a broad class of multivalued and/or nonsmooth mappings, by examining the convergence in distribution of the sequence of difference quotients from the perspectives of recent developments in convergence theory for random closed sets and new descriptions of first-order behavior of multivalued mappings. Such a theory opens the way to applications of asymptotic techniques in many areas of mathematical optimization where randomness and uncertainty play a role. Of special importance is the asymptotic convergence of measurable selections of multifunctions when the limit multifunction is single-valued almost surely. 1988-07 published WP-88-056 WP-88-056 10 2729 public working_paper IIASA, Laxenburg, Austria 28 FALSE info:eu-repo/semantics/book