Coincidence points of multivalued mappings in (q1, q2)-quasimetric spaces

被引：0
|
作者：
A. V. Arutyunov
A. V. Greshnov
机构：
[1] RUDN University,Faculty of Computational Mathematics and Cybernetics
[2] Moscow State University,Sobolev Institute of Mathematics, Siberian Branch
[3] Novosibirsk State University,undefined
[4] Russian Academy of Sciences,undefined
来源：
Doklady Mathematics | 2017年 / 96卷
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摘要：
The properties of (q1, q2)-quasimetric spaces are examined. Multivalued covering mappings between (q1, q2)-quasimetric spaces are investigated. Given two multivalued mappings between (q1, q2)-quasimetric spaces such that one of them is covering and the other satisfies the Lipschitz condition, sufficient conditions for these mappings to have a coincidence point are obtained. A theorem on the stability of coincidence points with respect to small perturbations in the considered mappings is proved.
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页码：438 / 441
页数：3
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