Hadamard's theorem for mappings with relaxed smoothness conditions

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.