Theory of (q1, q2)-quasimetric spaces and coincidence points


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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.

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A. Arutyunov

RUDN University; Faculty of Mechanics and Mathematics

编辑信件的主要联系方式.
Email: arutun@orc.ru
俄罗斯联邦, ul. Miklukho-Maklaya 6, Moscow, 117198; Moscow, 119992

A. Greshnov

Novosibirsk State University; Sobolev Institute of Mathematics, Siberian Branch

Email: arutun@orc.ru
俄罗斯联邦, ul. Pirogova 2, Novosibirsk, 630090; pr. Akademika Koptyuga 4, Novosibirsk, 630090

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