Locally covering maps in metric spaces and coincidence points
The authors extend the results of the first author considering covering maps with respect to certain subsets in metric spaces. Section I is an introduction and preliminaries. Section II contains coincidence theorems for single-valued maps. In Section III a coincidence theorem for multi-valued maps is proved. In Section IV conditions are formulated which imply a local covering to be a global one. Interesting applications are contained in Section V. The authors prove the existence of a positive solution for a feedback control system governed by a semilinear differential inclusion in a separable Banach space with a cone.
scientific article; zbMATH DE number 5620240