Hölder metric regularity of set-valued maps

Hélène Frankowska 1 Marc Quincampoix 2
1 C&O - Equipe combinatoire et optimisation
UPMC - Université Pierre et Marie Curie - Paris 6, CNRS - Centre National de la Recherche Scientifique : FRE3232
Abstract : This paper is devoted to metric regularity of set-valued maps from a complete metric space to a Banach space. In particular we extend a known characterization of the regularity modulus to maps defined on reflexive spaces. The higher order metric regularity, i.e. an extension of metric regularity to Hölder context, is also investigated using high order variations of set-valued maps and results of similar nature are obtained for conical metric regularity.
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Article dans une revue
Mathematical Programming, Springer Verlag, 2012, 132 (1-2), pp.333-354. 〈10.1007/s10107-010-0401-7〉
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Soumis le : jeudi 27 octobre 2011 - 16:38:41
Dernière modification le : mercredi 21 mars 2018 - 18:57:28

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Hélène Frankowska, Marc Quincampoix. Hölder metric regularity of set-valued maps. Mathematical Programming, Springer Verlag, 2012, 132 (1-2), pp.333-354. 〈10.1007/s10107-010-0401-7〉. 〈inria-00636545〉

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