On the acyclicity of fixed point sets of multivalued maps
type: Item
instance of: scholarly article
title: On the acyclicity of fixed point sets of multivalued maps
zbMATH Open document ID: 0954.54022
DOI: 10.12775/TMNA.1999.036
author: Grzegorz Gabor
published in: Topological Methods in Nonlinear Analysis
publication date: 2000-09-14T00:00:00Z
review text: The author generalizes the Browder-Gupta fixed point theorem from the case of single-valued proper mappings to the case of multivalued mappings with convex values. Then the fixed point properties of inverse systems of topological spaces and single valued or multivalued mappings are studied. The obtained results have natural applications to differential equations and inclusions which are signalized in the paper.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 54C60
Mathematics Subject Classification ID: 55M20
Mathematics Subject Classification ID: 34A60
Mathematics Subject Classification ID: 46A04
Mathematics Subject Classification ID: 55M25
zbMATH DE Number: 1507585
zbMATH Keywords: Browder-Gupta fixed point theorem
reviewed by: Lech Górniewicz
MaRDI profile type: Publication
full work available at URL: tmna.1999.036
OpenAlex ID: W2530925170
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description: scientific article; zbMATH DE number 1507585