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

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

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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[1] 1. Clarke, F. H., Methods of Dynamic and Nonsmooth Optimization, CBMS-NSF Regional Conf. Series in Applied Mathematics 57, Society for Industrial and Applied Mathematics, Philadelphia, 1989. Google Scholar

[2] 2. Clarke, F. H., An indirect method in the calculus of variations, Trans. Amer. Math. Soc, (in press). Google Scholar

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