Dense subdifferentiability and trustworthiness for arbitrary subdifferentials - Archive ouverte HAL
Article Dans Une Revue Serdica Mathematical Journal Année : 2010

Dense subdifferentiability and trustworthiness for arbitrary subdifferentials

Résumé

We show that the properties of dense subdifferentiability and of trustworthiness are equivalent for any subdifferential satisfying a small set of natural axioms. The proof relies on a remarkable property of the subdifferential of the inf-convolution of two (non necessarily convex) functions. We also show the equivalence of the dense subdifferentiability property with other basic properties of subdifferentials such as a weak∗ Lipschitz Separation property, a strong Compact Separation property and a Minimal property for the analytic approximate subdifferential of Ioffe.
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Dates et versions

hal-00694603 , version 1 (04-05-2012)

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  • HAL Id : hal-00694603 , version 1

Citer

Florence Jules, Marc Lassonde. Dense subdifferentiability and trustworthiness for arbitrary subdifferentials. Serdica Mathematical Journal, 2010, 36 (4), pp.387-402. ⟨hal-00694603⟩
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