Hadamard's theorem for mappings with relaxed smoothness conditions

The paper puts forward sufficient conditions for a mapping from Rn to Rn 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 Rn are derived. Covering mappings of metric spaces and mappings covering at a point are studied. Bibliography: 23 titles. © 2019 Russian Academy of Sciences (DoM), London Mathematical Society, Turpion Ltd.

Авторы
Arutyunov A.V. 1, 2 , Zhukovskiy S.E. 3, 4, 5
Journal
Sbornik Mathematics
Издательство
Russian Academy of Sciences
Номер выпуска
2
Язык
English
Страницы
165-183
Статус
Published
Ссылка
Внешняя ссылка
DOI
10.1070/SM9010
Том
210
Год
2019
Организации
  • 1 Moscow Institute of Physics and Technology, State University, Dolgoprudny, Russian Federation
  • 2 Lomonosov Moscow State University, Moscow, Russian Federation
  • 3 Institute for Information Transmission Problems of the Russian Academy of Sciences, Kharkevich Institute, Moscow, Russian Federation
  • 4 V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow, Russian Federation
  • 5 RUDN University, Moscow, Russian Federation
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