Coincidence points principle for set-valued mappings in partially ordered spaces

In the paper the concept of covering (regularity) for set-valued mappings in partially ordered spaces is introduced. The coincidence points problem for set-valued mappings in partially ordered spaces is considered. Sufficient conditions for the existence of coincidence points of isotone and orderly covering set-valued mappings are obtained. It is shown that the known theorems on coincidence points of covering and Lipschitz mappings in metric spaces can be deduced from the obtained results. © 2015 Published by Elsevier B.V.

Authors
Arutyunov A.V. 1, 2 , Zhukovskiy E.S. 3 , Zhukovskiy S.E. 1
Journal
Topology and its Applications
Language
English
Pages
330-343
Status
Published
Link
External link
DOI
10.1016/j.topol.2015.12.044
Volume
201
Year
2016
Organizations
  • 1 Peoples' Friendship University of Russia, M.-Maklaya str., 6, Moscow, 117198, Russian Federation
  • 2 Moscow State University, Department of Computational Mathematics and Cybernetics, Leninskiye Gori 1-52, Moscow, 119234, Russian Federation
  • 3 Tambov State University, Internatsionalnaya str., 33, Tambov, 392000, Russian Federation
Keywords
Coincidence point; Orderly covering mapping
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/3979/
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