Representations of epi-Lipschitzian sets

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dc.creatorCzarnecki, Marc-Olivier
dc.creatorGudovich, Anastasia Nikolaevna
dc.date2009-03-04
dc.date.accessioned2026-07-07T12:49:01Z
dc.date.available2026-07-07T12:49:01Z
dc.descriptionA closed subset $M$ of a Banach space $E$ is \ep, i.e., can be represented locally as the epigraph of a Lipschitz function, if and only if it is the level set of some locally Lipschitz function $f: E\to \R$, wich Clarke's generalized gradient does not contain 0 at points in the boundary of $M$, i.e., such that: M=\{x \mid f(x)\leq 0\}, 0\not \in \partial f(x) {if} x\in \bd M. This extends the characterization previously known in finite dimension and answers to a standing open question
dc.identifierhttps://arxiv.org/abs/0903.0711
dc.identifierhttp://arxiv.org/abs/0903.0711
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222256
dc.subjectOptimization and Control
dc.subject49J52
dc.titleRepresentations of epi-Lipschitzian sets
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