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

DOI

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
@article{10_4153_CMB_1997_011_2,
     author = {Radulescu, M. L. and Clarke, F. H.},
     title = {The {Multidirectional} {Mean} {Value} {Theorem} in {Banach} {Spaces}},
     journal = {Canadian mathematical bulletin},
     pages = {88--102},
     year = {1997},
     volume = {40},
     number = {1},
     doi = {10.4153/CMB-1997-011-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1997-011-2/}
}
TY  - JOUR
AU  - Radulescu, M. L.
AU  - Clarke, F. H.
TI  - The Multidirectional Mean Value Theorem in Banach Spaces
JO  - Canadian mathematical bulletin
PY  - 1997
SP  - 88
EP  - 102
VL  - 40
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1997-011-2/
DO  - 10.4153/CMB-1997-011-2
ID  - 10_4153_CMB_1997_011_2
ER  - 
%0 Journal Article
%A Radulescu, M. L.
%A Clarke, F. H.
%T The Multidirectional Mean Value Theorem in Banach Spaces
%J Canadian mathematical bulletin
%D 1997
%P 88-102
%V 40
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1997-011-2/
%R 10.4153/CMB-1997-011-2
%F 10_4153_CMB_1997_011_2

Cité par Sources :