| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4658513 | Topology and its Applications | 2015 | 21 Pages |
Abstract
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
A.V. Arutyunov, E.S. Zhukovskiy, S.E. Zhukovskiy,