Email this article ON CONTINUATION IN METRIC SPACES
- Authors: Zhukovskiy S.E.1, Ngomirakiza L.I.1
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Affiliations:
- RUDN University
- Issue: Vol 23, No 124 (2018)
- Pages: 643-647
- Section: Articles
- URL: https://journal-vniispk.ru/2686-9667/article/view/297272
- DOI: https://doi.org/10.20310/1810-0198-2018-23-124-643-647
- ID: 297272
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Abstract
We study locally injective covering mappings between metric spaces. We show that under natural assumptions these mappings have continuation property.
Keywords
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Прежде чем перейти к постановке задачи напомним, некоторые определения. Пусть (X, ρX), (Y, ρY ) - метрические пространства.×
About the authors
Sergey Evgenyevich Zhukovskiy
RUDN University
Email: s-e-zhuk@yandex.ru
Candidate of Physics and Mathematics, Associate Professor of the Nonlinear Analysis and Optimization Department 6 Miklukho-Maklaya St., Moscow 117198, Russian Federation
Larry-Elvis Innosentovich Ngomirakiza
RUDN University
Email: nglain@yandex.com
Post-Graduate Student, Department of Nonlinear Analysis and Optimization 6 Miklukho-Maklaya St., Moscow 117198, Russian Federation
References
- Арутюнов А.В. Накрывающие отображения в метрических пространствах и неподвижные точки // Доклады Академии наук. 2007. Т. 416. № 2. С. 151-155.
- Arutyunov A., Avakov E., Gel’man B., Dmitruk A., Obukhovskii V. Locally covering maps in metric spaces and coincidence points // Journal of Fixed Points Theory and Applications. 2009. Vol. 5. № 1. P. 106-127.
- Ортега Дж., Рейнболдт В. Итерационные методы решения нелинейных систем уравнений со многими неизвестными. М.: Мир, 1975. 559 с.
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