Мақаланы E-mail арқылы жіберу Kantorovich’s Fixed Point Theorem in Metric Spaces and Coincidence Points
- Авторлар: Arutyunov A.V.1,2,3, Zhukovskiy E.S.4, Zhukovskiy S.E.2,3,5
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Мекемелер:
- 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)
- Шығарылым: Том 304, № 1 (2019)
- Беттер: 60-73
- Бөлім: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175736
- DOI: https://doi.org/10.1134/S008154381901005X
- ID: 175736
Дәйексөз келтіру
Ашық рұқсат
Рұқсат берілді
Тек жазылушылар үшін
Аннотация
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.
Авторлар туралы
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)
Хат алмасуға жауапты Автор.
Email: arutyunov@cs.msu.ru
Ресей, 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
Хат алмасуға жауапты Автор.
Email: zukovskys@mail.ru
Ресей, 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)
Хат алмасуға жауапты Автор.
Email: s-e-zhuk@yandex.ru
Ресей, Profsoyuznaya ul. 65, Moscow, 117997; ul. Miklukho-Maklaya 6, Moscow, 117198; Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141701
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