Geodesic
The Multidirectional Mean Value Theorem in Banach Spaces
Canadian mathematical bulletin, Tome 40 (1997) no. 1, pp. 88-102

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

Recently, F. H. Clarke and Y. Ledyaev established a multidirectional mean value theorem applicable to lower semi-continuous functions on Hilbert spaces, a result which turns out to be useful in many applications. We develop a variant of the result applicable to locally Lipschitz functions on certain Banach spaces, namely those that admit a C 1-Lipschitz continuous bump function.
DOI : 10.4153/CMB-1997-011-2
Mots-clés : 26B05, 49J52 
Radulescu, M. L.; Clarke, F. H. The Multidirectional Mean Value Theorem in Banach Spaces. Canadian mathematical bulletin, Tome 40 (1997) no. 1, pp. 88-102. doi: 10.4153/CMB-1997-011-2
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