Coincidence points principle for mappings in partially ordered spaces

The concept of covering (regularity) for mappings in partially ordered spaces is introduced. Sufficient conditions for the existence of coincidence points and minimal coincidence points of isotone and orderly covering mappings are obtained. These results generalize classical fixed point theorems for isotone mappings. Moreover, the known theorems on coincidence points of covering and Lipschitz mappings in metric spaces are deduced from the obtained results. © 2014 Elsevier B.V. All rights reserved.

Authors
Arutyunov A.V. 1 , Zhukovskiy E.S. 2 , Zhukovskiy S.E. 1
Journal
Topology and its Applications
Language
English
Pages
13-33
Status
Published
Link
External link
DOI
10.1016/j.topol.2014.08.013
Volume
179
Year
2015
Organizations
  • 1 Peoples' Friendship University of Russia, M.-Maklaya str., 6, Moscow, 117198, Russian Federation
  • 2 Tambov State University, Internatsionalnaya str., 33, Tambov, 392000, Russian Federation
Keywords
06A06; 54H25; 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/4708/
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