电邮这篇文章 Kantorovich’s Fixed Point Theorem in Metric Spaces and Coincidence Points
- 作者: Arutyunov A.V.1,2,3, Zhukovskiy E.S.4, Zhukovskiy S.E.2,3,5
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隶属关系:
- Institute for Information Transmission Problems (Kharkevich Institute)
- V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences
- People’s Friendship University of Russia (RUDN University)
- Derzhavin Tambov State University
- Moscow Institute of Physics and Technology (State University)
- 期: 卷 304, 编号 1 (2019)
- 页面: 60-73
- 栏目: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175736
- DOI: https://doi.org/10.1134/S008154381901005X
- ID: 175736
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详细
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.
作者简介
A. Arutyunov
Institute for Information Transmission Problems (Kharkevich Institute); V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences; People’s Friendship University of Russia (RUDN University)
编辑信件的主要联系方式.
Email: arutyunov@cs.msu.ru
俄罗斯联邦, Bol’shoi Karetnyi per. 19, str. 1, Moscow, 127051; Profsoyuznaya ul. 65, Moscow, 117997; ul. Miklukho-Maklaya 6, Moscow, 117198
E. Zhukovskiy
Derzhavin Tambov State University
编辑信件的主要联系方式.
Email: zukovskys@mail.ru
俄罗斯联邦, Internatsional’naya ul. 33, Tambov, 392000
S. Zhukovskiy
V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences; People’s Friendship University of Russia (RUDN University); Moscow Institute of Physics and Technology (State University)
编辑信件的主要联系方式.
Email: s-e-zhuk@yandex.ru
俄罗斯联邦, Profsoyuznaya ul. 65, Moscow, 117997; ul. Miklukho-Maklaya 6, Moscow, 117198; Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141701
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