(q-1,q-2)-quasimetric spaces. Covering mappings and coincidence points

We introduce (q1, q2)-quasimetric spaces and investigate their properties.We study covering mappings from one (q1, q2)-quasimetric space to another and obtain sufficient conditions for the existence of coincidence points of two mappings between such spaces provided that one of them is covering and the other satisfies the Lipschitz condition. These results are extended to multi-valued mappings. We prove that the coincidence points are stable under small perturbations of the mappings. © 2018 Russian Academy of Sciences (DoM), London Mathematical Society, Turpion Ltd.

Authors
Arutyunov A.V. 1 , Greshnov A.V.2
Journal
Izvestiya Mathematics
Publisher
Institute of Physics Publishing
Number of issue
2
Language
English
Pages
245-272
Status
Published
Link
External link
DOI
10.1070/IM8546
Volume
82
Year
2018
Organizations
  • 1 Russian University of People's Friendship, Moscow, Moscow State University, Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow Region Institute for Information Transmission Problems (Kharkevich Institute), Russian Academy of Sciences, Moscow, Russian Federation
  • 2 Novosibirsk State University, Sobolev Mathematical Institute, Siberian Branch of RAS, Novosibirsk, Russian Federation
Keywords
(q1 q2)-quasimetric; coincidence points; covering Mappings; generalized triangle inequality; multi-valued mappings
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/7398/
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