Geodesic
Differential Inclusions with Proximal Normal Cones in Banach Spaces
Journal of convex analysis, Tome 17 (2010) no. 2, pp. 451-484

Voir la notice de l'article provenant de la source Heldermann Verlag

This paper is devoted to weaken "classical" assumptions and to give new arguments to prove existence of solutions of differential inclusions with proximal normal cones in Banach spaces. Mainly we define the concept of "directional prox-regularity" and give assumptions on a Banach space to ensure the existence of such differential inclusions (which permits to generalize existing results requiring a Hilbertian structure).
Classification : 34A60, 49J52, 58C20
Mots-clés : Differential inclusion, sweeping process, prox-regularity, proximal normal cone 
F. Bernicot; J. Venel. Differential Inclusions with Proximal Normal Cones in Banach Spaces. Journal of convex analysis, Tome 17 (2010) no. 2, pp. 451-484. http://geodesic.mathdoc.fr/item/JCA_2010_17_2_JCA_2010_17_2_a6/
@article{JCA_2010_17_2_JCA_2010_17_2_a6,
     author = {F. Bernicot and J. Venel},
     title = {Differential {Inclusions} with {Proximal} {Normal} {Cones} in {Banach} {Spaces}},
     journal = {Journal of convex analysis},
     pages = {451--484},
     year = {2010},
     volume = {17},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JCA_2010_17_2_JCA_2010_17_2_a6/}
}
TY  - JOUR
AU  - F. Bernicot
AU  - J. Venel
TI  - Differential Inclusions with Proximal Normal Cones in Banach Spaces
JO  - Journal of convex analysis
PY  - 2010
SP  - 451
EP  - 484
VL  - 17
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/JCA_2010_17_2_JCA_2010_17_2_a6/
ID  - JCA_2010_17_2_JCA_2010_17_2_a6
ER  - 
%0 Journal Article
%A F. Bernicot
%A J. Venel
%T Differential Inclusions with Proximal Normal Cones in Banach Spaces
%J Journal of convex analysis
%D 2010
%P 451-484
%V 17
%N 2
%U http://geodesic.mathdoc.fr/item/JCA_2010_17_2_JCA_2010_17_2_a6/
%F JCA_2010_17_2_JCA_2010_17_2_a6