Enlarged Inclusion of Subdifferentials

Thibault, Lionel ; Zagrodny, Dariusz

Canadian mathematical bulletin, Tome 48 (2005) no. 2, pp. 283-301

Résumé

This paper studies the integration of inclusion of subdifferentials. Under various verifiable conditions, we obtain that if two proper lower semicontinuous functions $f$ and $g$ have the subdifferential of $f$ included in the $\gamma $ -enlargement of the subdifferential of $g$ , then the difference of those functions is $\gamma $ -Lipschitz over their effective domain.

Détail

DOI : 10.4153/CMB-2005-027-0

Mots-clés : 49J52, 46N10, 58C20, subdifferential, directionally regular function, approximate convex function, subdifferentially and directionally stable function

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