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.

Authors
Publisher
Russian Academy of Sciences
Number of issue
2
Language
English
Pages
165-183
Status
Published
Volume
210
Year
2019
Organizations
  • 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
Date of creation
19.07.2019
Date of change
19.07.2019
Short link
https://repository.rudn.ru/en/records/article/record/38510/
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European Journal of Heart Failure. Elsevier Science Publishing Company, Inc.. 2019.