Generalized Delta Theorems for Multivalued Mappings and Measurable Selections

King AJ (1988). Generalized Delta Theorems for Multivalued Mappings and Measurable Selections. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-88-056


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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.

Item Type: Monograph (IIASA Working Paper)
Research Programs: Adaption and Optimization (ADO)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 01:59
Last Modified: 14 Mar 2018 07:30

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