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 University Press

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
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