Geodesic
The Proximal Subgradient and Constancy
Canadian mathematical bulletin, Tome 36 (1993) no. 1, pp. 30-32

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DOI

If f is a lower semicontinuous function mapping a connected open subset of Rn to (—∞, ∞], and if the proximal subgradient of f reduces to zero wherever it exists, then f is constant.
DOI : 10.4153/CMB-1993-005-9
Mots-clés : 28A15, Nonsmooth analysis 
Clarke, F. H.; Redheffer, R. M. The Proximal Subgradient and Constancy. Canadian mathematical bulletin, Tome 36 (1993) no. 1, pp. 30-32. doi: 10.4153/CMB-1993-005-9
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     title = {The {Proximal} {Subgradient} and {Constancy}},
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     doi = {10.4153/CMB-1993-005-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1993-005-9/}
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