Coincidence points of multivalued mappings in (q 1, q 2)-quasimetric spaces

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. © 2017, Pleiades Publishing, Ltd.

Authors
Arutyunov A.V. 1, 2 , Greshnov A.V.3, 4
Number of issue
2
Language
English
Pages
438-441
Status
Published
Volume
96
Year
2017
Organizations
  • 1 RUDN University, Moscow, 117198, Russian Federation
  • 2 Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119992, Russian Federation
  • 3 Novosibirsk State University, Novosibirsk, 630090, Russian Federation
  • 4 Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russian Federation
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/5371/
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