Email this article Coincidence points of multivalued mappings in (q1, q2)-quasimetric spaces
- Authors: Arutyunov A.V.1,2, Greshnov A.V.3,4
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Affiliations:
- RUDN University
- Faculty of Computational Mathematics and Cybernetics
- Novosibirsk State University
- Sobolev Institute of Mathematics, Siberian Branch
- Issue: Vol 96, No 2 (2017)
- Pages: 438-441
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225360
- DOI: https://doi.org/10.1134/S1064562417050064
- ID: 225360
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Abstract
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.
About the authors
A. V. Arutyunov
RUDN University; Faculty of Computational Mathematics and Cybernetics
Author for correspondence.
Email: arutun@orc.ru
Russian Federation, Moscow, 117198; Moscow, 119992
A. V. Greshnov
Novosibirsk State University; Sobolev Institute of Mathematics, Siberian Branch
Email: arutun@orc.ru
Russian Federation, Novosibirsk, 630090; Novosibirsk, 630090
