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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2019, Volume 304, Pages 68–82
DOI: https://doi.org/10.4213/tm3962 (Mi tm3962) 		 
This article is cited in 8 scientific papers (total in 8 papers)

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

A. V. Arutyunovabc, E. S. Zhukovskiyd, S. E. Zhukovskiyebc

a Institute for Information Transmission Problems (Kharkevich Institute), Russian Academy of Sciences, Bol'shoi Karetnyi per. 19, str. 1, Moscow, 127051 Russia
b V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Profsoyuznaya ul. 65, Moscow, 117997 Russia
c People's Friendship University of Russia (RUDN University), ul. Miklukho-Maklaya 6, Moscow, 117198 Russia
d Derzhavin Tambov State University, Internatsional'naya ul. 33, Tambov, 392000 Russia
e Moscow Institute of Physics and Technology (State University), Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141701 Russia
Full-text PDF (241 kB) Citations (8)
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DOI: https://doi.org/10.4213/tm3962
Abstract: Existence and uniqueness theorems are obtained for a fixed point of a mapping of a complete metric space into itself, that generalize the theorems of L. V. Kantorovich for smooth mappings of Banach spaces. These results are extended to the coincidence points of both ordinary and maultivalued mappings acting in metric spaces.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.962.2017/4.6
3.8515.2017/БЧ
Russian Foundation for Basic Research 17-51-12064
17-41-680975
18-01-00106
19-01-00080
This work was supported by the Ministry of Education and Science of the Russian Federation (project nos. 1.962.2017/4.6 and 3.8515.2017/BCh) and by the Russian Foundation for Basic Research (project nos. 17-51-12064, 17-41-680975, 18-01-00106, and 19-01-00080).
Received: August 20, 2018
Revised: September 25, 2018
Accepted: November 19, 2018
English version:
Proceedings of the Steklov Institute of Mathematics, 2019, Volume 304, Pages 60–73
DOI: https://doi.org/10.1134/S008154381901005X
Bibliographic databases:
Document Type: Article
UDC: 517+515.126.4
Language: Russian
Citation: A. V. Arutyunov, E. S. Zhukovskiy, S. E. Zhukovskiy, “Kantorovich's Fixed Point Theorem in Metric Spaces and Coincidence Points”, Optimal control and differential equations, Collected papers. On the occasion of the 110th anniversary of the birth of Academician Lev Semenovich Pontryagin, Trudy Mat. Inst. Steklova, 304, Steklov Math. Inst. RAS, Moscow, 2019, 68–82; Proc. Steklov Inst. Math., 304 (2019), 60–73
Citation in format AMSBIB
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\paper Kantorovich's Fixed Point Theorem in Metric Spaces and Coincidence Points
\inbook Optimal control and differential equations
\bookinfo Collected papers. On the occasion of the 110th anniversary of the birth of Academician Lev Semenovich Pontryagin
\serial Trudy Mat. Inst. Steklova
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\vol 304
\pages 68--82
\publ Steklov Math. Inst. RAS
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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