Kantorovich’s Fixed Point Theorem in Metric Spaces and Coincidence Points

Existence and uniqueness theorems are obtained for a fixed point of a mapping from a complete metric space to itself. These theorems generalize the theorems of L. V. Kantorovich for smooth mappings of Banach spaces. The results are extended to the coincidence points of both ordinary and set-valued mappings acting in metric spaces. © 2019, Pleiades Publishing, Ltd.

Authors
Arutyunov A.V. 1, 2, 3 , Zhukovskiy E.S. 4 , Zhukovskiy S.E. 2, 3, 5
Journal
Proceedings of the Steklov Institute of Mathematics
Number of issue
1
Language
English
Pages
60-73
Status
Published
Link
External link
DOI
10.1134/S008154381901005X
Volume
304
Year
2019
Organizations
  • 1 Institute for Information Transmission Problems (Kharkevich Institute), Russian Academy of Sciences, Bol’shoi Karetnyi per. 19, str. 1, Moscow, 127051, Russian Federation
  • 2 V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Profsoyuznaya ul. 65, Moscow, 117997, Russian Federation
  • 3 People’s Friendship University of Russia (RUDN University), ul. Miklukho-Maklaya 6, Moscow, 117198, Russian Federation
  • 4 Derzhavin Tambov State University, Internatsional’naya ul. 33, Tambov, 392000, Russian Federation
  • 5 Moscow Institute of Physics and Technology (State University), Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141701, Russian Federation
Date of creation
19.07.2019
Date of change
19.07.2019
Short link
https://repository.rudn.ru/en/records/article/record/38886/
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