A note on the topological transversality theorem for acyclic maps

DOI10.1016/j.aml.2002.11.021zbMath1082.58007OpenAlexW2016761460MaRDI QIDQ2484566

Ravi P. Agarwal, Donal O'Regan

Publication date: 1 August 2005

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2002.11.021

zbMATH Keywords

fixed point theoremstopological transversalitymultivalued acyclic maps

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed-point theorems on manifolds (58C30)

Related Items (3)

Generalized coincidence theory for set-valued maps ⋮ An essential map approach for multimaps defined on closed subsets of Fréchet spaces ⋮ Topological fixed point theory for compact multifunctions via homotopy and essential maps

Cites Work

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• On some fixed point principles for cones in linear normed spaces
• Continuation methods based on essential and \(0\)-epi maps
• Generalized Leray-Schauder principles for condensing admissible multifunctions
• Generalized Leray-Schauder principles for compact admissible multifunctions
• Spheres in Infinite-Dimensional Normed Spaces are Lipschitz Contractible

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