An Inverse Function Theorem for Metrically Regular Mappings

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dc.creatorDontchev, Asen L.
dc.date2002-09-18
dc.date.accessioned2026-07-07T04:50:58Z
dc.date.available2026-07-07T04:50:58Z
dc.descriptionWe prove that if a mapping F:X to Y, where X and Y are Banach spaces, is metrically regular at x for y and its inverse F^{-1} is convex and closed valued locally around (x,y), then for any function G:X to Y with lip G(x)regF(x|y)) < 1, the mapping (F+G)^{-1} has a continuous local selection around (x, y+G(x)) which is also calm.
dc.identifierhttps://arxiv.org/abs/math/0209222
dc.identifierhttp://arxiv.org/abs/math/0209222
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64981
dc.subjectOptimization and Control
dc.subjectClassical Analysis and ODEs
dc.subject49J53, 47H04, 54C60
dc.titleAn Inverse Function Theorem for Metrically Regular Mappings
dc.typetext

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