Geodesic
Enlarged Inclusion of Subdifferentials
Canadian mathematical bulletin, Tome 48 (2005) no. 2, pp. 283-301

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DOI

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.
DOI : 10.4153/CMB-2005-027-0
Mots-clés : 49J52, 46N10, 58C20, subdifferential, directionally regular function, approximate convex function, subdifferentially and directionally stable function 
Thibault, Lionel; Zagrodny, Dariusz. Enlarged Inclusion of Subdifferentials. Canadian mathematical bulletin, Tome 48 (2005) no. 2, pp. 283-301. doi: 10.4153/CMB-2005-027-0
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     title = {Enlarged {Inclusion} of {Subdifferentials}},
     journal = {Canadian mathematical bulletin},
     pages = {283--301},
     year = {2005},
     volume = {48},
     number = {2},
     doi = {10.4153/CMB-2005-027-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2005-027-0/}
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