Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4657858 | Topology and its Applications | 2016 | 14 Pages |
Abstract
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
A.V. Arutyunov, E.S. Zhukovskiy, S.E. Zhukovskiy,