Email this article Theory of (q1, q2)-quasimetric spaces and coincidence points
- Authors: Arutyunov A.V.1,2, Greshnov A.V.3,4
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Affiliations:
- RUDN University
- Faculty of Mechanics and Mathematics
- Novosibirsk State University
- Sobolev Institute of Mathematics, Siberian Branch
- Issue: Vol 94, No 1 (2016)
- Pages: 434-437
- Section: Mathematics
- URL: https://journal-vniispk.ru/1064-5624/article/view/224058
- DOI: https://doi.org/10.1134/S1064562416040232
- ID: 224058
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Abstract
We introduce (q1, q2)-quasimetric spaces and examine their properties. Covering mappings between (q1, q2)-quasimetric spaces are investigated. Sufficient conditions for the existence of a coincidence point of two mappings acting between (q1, q2)-quasimetric spaces such that one is a covering mapping and the other satisfies the Lipschitz condition are obtained.
About the authors
A. V. Arutyunov
RUDN University; Faculty of Mechanics and Mathematics
Author for correspondence.
Email: arutun@orc.ru
Russian Federation, ul. Miklukho-Maklaya 6, Moscow, 117198; Moscow, 119992
A. V. Greshnov
Novosibirsk State University; Sobolev Institute of Mathematics, Siberian Branch
Email: arutun@orc.ru
Russian Federation, ul. Pirogova 2, Novosibirsk, 630090; pr. Akademika Koptyuga 4, Novosibirsk, 630090
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