Applications of Michael's selection theorems to fixed point theory

DOI10.1016/j.topol.2007.02.017zbMath1145.54043OpenAlexW2041775753MaRDI QIDQ924279

Sehie Park

Publication date: 15 May 2008

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

Full work available at URL: https://doi.org/10.1016/j.topol.2007.02.017

zbMATH Keywords

selectionmultimapcoincidence pointtopological vector space(almost) fixed pointmultimap class \(\mathfrak B\)

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Selections in general topology (54C65) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (1)

Michael’s Selection Theorem in d-minimal expansions of the real field

Cites Work

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• A Bolzano's theorem in the new millennium
• Continuous selections. I
• On the use of KKM multifunctions in fixed point theory and related topics
• Fixed point theorems for better admissible multimaps on almost convex sets
• The Lefschetz fixed point theorem for some classes of non-metrizable spaces
• The KKM principle implies many fixed point theorems.
• Fixed points of convex-valued generalized upper hemicontinuous maps, revisited
• Some selection theorems without convexity
• Fixed points in locally convex spaces
• Almost Fixed Point Theorems
• Continuous selections and countable sets
• A new fixed point theorem and its applications
• A Selection Theorem
• Fixed Point Theorems for Condensing Multifunctions
• Fixed points of compact multifunctions
• Remarks on Himmelberg-Izdiks's fixed point theorem
• Fixed point theorems in locally \(G\)-convex spaces

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