On properties of coincidence points of mappings between (Q1, q2 )-quasimetric spaces

In this paper, the properties of coincidence points of mappings acting between (q1, q2 )-quasimetric spaces are studied. For a pair of mappings, we obtain estimates for the distance from a point to the coincidence points set and intersection of the respective graphs of the mappings. In addition, the stability of coincidence points is studied. A generalization of Lim’s lemma is obtained. © 2020 ASSA.

Publisher
International Institute for General Systems Studies
Number of issue
1
Language
English
Pages
91-103
Status
Published
Volume
20
Year
2020
Organizations
  • 1 Peoples’ Friendship University of Russia, Russian Federation
  • 2 V.A. Trapeznikov Institute of Control Sciences of RAS, Russian Federation
  • 3 Moscow Institute of Physics and Technology, Russian Federation
Keywords
(q1Q2 )-quasimetric spaces; Coincidence points; Set-valued mappings
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