Geodesic
Subdifferential Regularity of Directionally Lipschitzian Functions
Canadian mathematical bulletin, Tome 43 (2000) no. 1, pp. 25-36

Voir la notice de l'article provenant de la source Cambridge

DOI

Formulas for the Clarke subdifferential are always expressed in the form of inclusion. The equality form in these formulas generally requires the functions to be directionally regular. This paper studies the directional regularity of the general class of extended-real-valued functions that are directionally Lipschitzian. Connections with the concept of subdifferential regularity are also established.
DOI : 10.4153/CMB-2000-004-5
Mots-clés : 49J52, 58C20, 49J50, 90C26, subdifferential regularity, directional regularity, directionally Lipschitzian functions 
Bounkhel, M.; Thibault, L. Subdifferential Regularity of Directionally Lipschitzian Functions. Canadian mathematical bulletin, Tome 43 (2000) no. 1, pp. 25-36. doi: 10.4153/CMB-2000-004-5
@article{10_4153_CMB_2000_004_5,
     author = {Bounkhel, M. and Thibault, L.},
     title = {Subdifferential {Regularity} of {Directionally} {Lipschitzian} {Functions}},
     journal = {Canadian mathematical bulletin},
     pages = {25--36},
     year = {2000},
     volume = {43},
     number = {1},
     doi = {10.4153/CMB-2000-004-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2000-004-5/}
}
TY  - JOUR
AU  - Bounkhel, M.
AU  - Thibault, L.
TI  - Subdifferential Regularity of Directionally Lipschitzian Functions
JO  - Canadian mathematical bulletin
PY  - 2000
SP  - 25
EP  - 36
VL  - 43
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2000-004-5/
DO  - 10.4153/CMB-2000-004-5
ID  - 10_4153_CMB_2000_004_5
ER  - 
%0 Journal Article
%A Bounkhel, M.
%A Thibault, L.
%T Subdifferential Regularity of Directionally Lipschitzian Functions
%J Canadian mathematical bulletin
%D 2000
%P 25-36
%V 43
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2000-004-5/
%R 10.4153/CMB-2000-004-5
%F 10_4153_CMB_2000_004_5

Cité par Sources :