Geodesic
A Characterization of Proximal Subgradient Set-Valued Mappings
Canadian mathematical bulletin, Tome 36 (1993) no. 1, pp. 116-122

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

DOI

In this paper we tackle the problem of identifying set-valued mappings that are subgradient set-valued mappings. We show that a set-valued mapping is the proximal subgradient mapping of a lower semicontinuous function bounded below by a quadratic if and only if it satisfies a monotone selection property.
DOI : 10.4153/CMB-1993-017-4
Mots-clés : 49A52, 58C06, 58C20, 65K10, proximal subgradients, nonsmooth analysis, quadratic conjugate, set-valued mappings, monotone mapping, generalized subgradients, strictly submonotone, cyclically submonotone 
Poliquin, R. A. A Characterization of Proximal Subgradient Set-Valued Mappings. Canadian mathematical bulletin, Tome 36 (1993) no. 1, pp. 116-122. doi: 10.4153/CMB-1993-017-4
@article{10_4153_CMB_1993_017_4,
     author = {Poliquin, R. A.},
     title = {A {Characterization} of {Proximal} {Subgradient} {Set-Valued} {Mappings}},
     journal = {Canadian mathematical bulletin},
     pages = {116--122},
     year = {1993},
     volume = {36},
     number = {1},
     doi = {10.4153/CMB-1993-017-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1993-017-4/}
}
TY  - JOUR
AU  - Poliquin, R. A.
TI  - A Characterization of Proximal Subgradient Set-Valued Mappings
JO  - Canadian mathematical bulletin
PY  - 1993
SP  - 116
EP  - 122
VL  - 36
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1993-017-4/
DO  - 10.4153/CMB-1993-017-4
ID  - 10_4153_CMB_1993_017_4
ER  - 
%0 Journal Article
%A Poliquin, R. A.
%T A Characterization of Proximal Subgradient Set-Valued Mappings
%J Canadian mathematical bulletin
%D 1993
%P 116-122
%V 36
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1993-017-4/
%R 10.4153/CMB-1993-017-4
%F 10_4153_CMB_1993_017_4

Cité par Sources :