Homotopic invariance of fixed points in hyperconvex metric spaces

DOI10.1016/S0166-8641(02)00215-8zbMath1022.47038MaRDI QIDQ1873747

Jack T. Markin

Publication date: 27 May 2003

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

fixed pointnonexpansive mappingset-valued contractionhyperconvex metric spacehomotopic invariance

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Set-valued operators (47H04) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

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Cites Work

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• Extension of uniformly continuous transformations and hyperconvex metric spaces
• On fixed point stability for set-valued contractive mappings with applications to generalized differential equations
• Multi-valued contraction mappings
• Hyperconvexity and Nonexpansive Multifunctions