Pseudo-Jacobian and global inversion of nonsmooth mappings on Riemannian manifolds

Pseudo-Jacobian and global inversion of nonsmooth mappings on Riemannian manifolds

We introduce a notion of pseudo-Jacobian for continuous nonsmooth mappings between Riemannian manifolds. Then we discuss the global inversion of continuous mappings between Riemannian manifolds which may be non-locally Lipschitz. For this purpose, we obtain a version of the Hadamard integral conditi...

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Veröffentlicht in:Nonlinear analysis 2016-01, Vol.130, p.229-240
Hauptverfasser: Ghahraei, E., Hosseini, S., Pouryayevali, M.R.
Format: Artikel
Sprache:eng
Schlagworte:
Global inversion
Integrals
Inversions
Manifolds
Mapping
Nonlinearity
Pseudo-Jacobian
Riemannian manifolds
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Zusammenfassung:We introduce a notion of pseudo-Jacobian for continuous nonsmooth mappings between Riemannian manifolds. Then we discuss the global inversion of continuous mappings between Riemannian manifolds which may be non-locally Lipschitz. For this purpose, we obtain a version of the Hadamard integral condition for invertibility by using pseudo-Jacobian.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2015.10.001