Article ID Journal Published Year Pages File Type
4657858 Topology and its Applications 2016 14 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology
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