On Inverse Function Theorems for Set-Valued Maps

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/2486 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/2486 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/2486 archive 351 disk0/00/00/24/50 2016-01-15 01:54:41 2021-08-27 17:11:46 2016-01-15 01:54:41 monograph show 2 Aubin J.-P. 7347 Frankowska H. AL0659 On Inverse Function Theorems for Set-Valued Maps pub iis_met prog_dyn We prove several equivalent versions of the inverse function theorem: an inverse function theorem for smooth maps on closed subsets, one for set-valued maps, a generalized implicit function theorem for set-valued maps. We provide applications to optimization theory and local controllability of differential inclusions. 1984-09 published WP-84-068 WP-84-068 1134 1884 public working_paper IIASA, Laxenburg, Austria 28 FALSE info:eu-repo/semantics/book