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Tangent cones and Dini derivatives
Authors:M. Pappalardo
Affiliation:(1) Department of Mathematics, University of Pisa, Pisa, Italy
Abstract:We prove a property of the Bouligand tangent cone to the epigraph (or to the graph) of a locally Lipschitz function. It is also shown how this result can be used in determining Dini sequences. Finally, some relationships between such a cone and Dini derivatives are provided.
Keywords:Tangent cones  Dini derivatives  Dini sequences  Lipschitz functions
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