descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1999 English Publisher:Elsevier BVJournal:Nonlinear Analysis: Theory, Methods & Applications, volume 35, pages 925-945 (issn: 0362-546X,

Authors: Jourani, A.; Thibault, L.;

doi: 10.1016/s0362-546x(98)00031-5

Coderivatives of multivalued mappings, locally compact cones and metric regularity

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Abstract

The authors use the notion of abstract subdifferential to derive workable criteria for metric regularity of a broad class of multivalued mappings in infinite dimensions. Basing on the properties of some cubclasses of partially compactly epi-Lipschitzian multivalued mappings, the authors generalize a finite-dimensional criterion by \textit{B. S. Mordukhovich} and \textit{Y. Shao} [Nonlinear Anal., Theory Methods Appl. 25, No. 12, 1401-1424 (1995; Zbl 0863.47030)].

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Keywords

locally compact coneinfimal convolution, coderivative, Derivatives of functions in infinite-dimensional spaces, abstract subdifferential, Nonsmooth analysis, partially compactly epi-Lipschitzian multivalued mappings, metric regularity

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