Regularity Properties of Constrained Set-Valued Mappings

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dc.creatorPapi, M.
dc.creatorSbaraglia, S.
dc.date2002-09-09
dc.date.accessioned2026-07-07T04:50:41Z
dc.date.available2026-07-07T04:50:41Z
dc.descriptionIn these notes, we present a general result concerning the Lipschitz regularity of a certain type of set-valued maps often found in constrained optimization and control problems. The class of multifunctions examined in this paper is characterized by means of a set of Lipschitz continuous constraint functions defined on some Lipschitz manifold. The proof of the regularity result for this class of multifunctions is based on a quantitative version of the Implicit Function Theorem for Lipschitzian maps which provides estimates for the neighborhoods where the implicit map can be defined.
dc.descriptionMultifunctions, Lipschitz regularity, Implicit Function Theorem
dc.identifierhttps://arxiv.org/abs/math/0209085
dc.identifierhttp://arxiv.org/abs/math/0209085
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64881
dc.subjectOptimization and Control
dc.subjectClassical Analysis and ODEs
dc.subject26E25, 49J52, 26A16, 26B10
dc.titleRegularity Properties of Constrained Set-Valued Mappings
dc.typetext

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