Geodesic
Hadamard's theorem for mappings with relaxed smoothness conditions
Sbornik. Mathematics, Tome 210 (2019) no. 2, pp. 165-183

Voir la notice de l'article provenant de la source Math-Net.Ru

The paper puts forward sufficient conditions for a mapping from $\mathbb R^n$ to $\mathbb R^n$ to be a global homeomorphism. As an application, the Hadamard theorem for differentiable mappings and conditions for the existence and uniqueness of a coincidence point of a covering mapping and a Lipschitz mapping on $\mathbb R^n$ are derived. Covering mappings of metric spaces and mappings covering at a point are studied. Bibliography: 23 titles.
Keywords: local homeomorphism, Hadamard's homeomorphism theorem, Caristi-like condition, covering mapping. 
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     author = {A. V. Arutyunov and S. E. Zhukovskiy},
     title = {Hadamard's theorem for mappings with relaxed smoothness conditions},
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A. V. Arutyunov; S. E. Zhukovskiy. Hadamard's theorem for mappings with relaxed smoothness conditions. Sbornik. Mathematics, Tome 210 (2019) no. 2, pp. 165-183. http://geodesic.mathdoc.fr/item/SM_2019_210_2_a0/