Fixed point theorem in subsets of topological vector spaces

DOI10.1016/J.CRMA.2005.04.030zbMath1071.54021OpenAlexW2040087171MaRDI QIDQ556946

Youcef Askoura, Christiane Godet-Thobie

Publication date: 23 June 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2005.04.030

zbMATH Keywords

fixed pointtopological vector spacecotractible spaceKakutani mapssimplicial approximation propertyupper semicontinuous multivalued maps

Mathematics Subject Classification ID

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

Related Items (1)

Remarks on separation of convex sets, fixed-point theorem, and applications in theory of linear operators

Cites Work

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• Shrinkable neighborhoods in Hausdorff linear spaces
• Contractibility and generalized convexity
• No Roberts space is a counter-example to Schauder's conjecture
• The Kakutani fixed point theorem for Roberts spaces
• The fixed point property for weakly admissible compact convex sets: Searching for a solution to Schauder's conjecture
• A compact convex set with no extreme points

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