Geodesic
Global Inversion of Nonsmooth Mappings on Finsler Manifolds
Journal of convex analysis, Tome 20 (2013) no. 4, pp. 1127-1146

Voir la notice de l'article provenant de la source Heldermann Verlag

We consider the problem of finding sufficient conditions for a locally Lipschitz mapping between Finsler manifolds to be a global homeomorphism. For this purpose, we develop the notion of Clarke generalized differential in this context and, using this, we obtain a version of the Hadamard integral condition for invertibility. As consequences, we deduce some global inversion and global injectivity results for Lipschitz mappings on Rn in terms of spectral conditions of its Clarke generalized differential.
Classification : 49J52, 58C15
Mots-clés : Global inversion, generalized differential, Finsler manifolds 
@article{JCA_2013_20_4_JCA_2013_20_4_a13,
     author = {J. A. Jaramillo and O. Madiedo and L. S\'anchez-Gonz\'alez},
     title = {Global {Inversion} of {Nonsmooth} {Mappings} on {Finsler} {Manifolds}},
     journal = {Journal of convex analysis},
     pages = {1127--1146},
     publisher = {mathdoc},
     volume = {20},
     number = {4},
     year = {2013},
     url = {http://geodesic.mathdoc.fr/item/JCA_2013_20_4_JCA_2013_20_4_a13/}
}
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J. A. Jaramillo; O. Madiedo; L. Sánchez-González. Global Inversion of Nonsmooth Mappings on Finsler Manifolds. Journal of convex analysis, Tome 20 (2013) no. 4, pp. 1127-1146. http://geodesic.mathdoc.fr/item/JCA_2013_20_4_JCA_2013_20_4_a13/