Locally covering maps in metric spaces and coincidence points
type: Item
instance of: scholarly article
title: Locally covering maps in metric spaces and coincidence points
zbMATH Open document ID: 1182.54050
author: E. R. Avakov
author: A. V. Arutyunov
author: B. D. Gel'man
author: Andrei Dmitruk
author: Valerii V. Obukhovskij
published in: Journal of Fixed Point Theory and Applications
publication date: 2009-10-23T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 47H04
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47J05
Mathematics Subject Classification ID: 54E40
zbMATH DE Number: 5620240
zbMATH Keywords: \(\alpha \)-covering map
zbMATH Keywords: locally covering map
zbMATH Keywords: coincidence point
zbMATH Keywords: fixed point
zbMATH Keywords: contraction map
zbMATH Keywords: multivalued map
zbMATH Keywords: control system
reviewed by: Vasil G. Angelov
MaRDI profile type: Publication
full work available at URL: s11784-008-0096-z
OpenAlex ID: W2011988520
DOI: 10.1007/S11784-008-0096-Z
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description: scientific article; zbMATH DE number 5620240