The Kakutani fixed point theorem for Roberts spaces

DOI10.1016/S0166-8641(01)00212-7zbMath1014.47029OpenAlexW2074675564MaRDI QIDQ1862024

T. Okon

Publication date: 10 March 2003

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(01)00212-7

zbMATH Keywords

Kakutani fixed point theoremneedle pointsRobert spacesweakly admissible spaces

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (5)

Fixed Point Theorem and Related Nonlinear Analysis by the Best Approximation Method in p-Vector Spaces ⋮ Topological results, Rothe's principle and Leray-Schauder alternative for the fixed point equation in \(p\)-vector spaces ⋮ Nonlinear analysis in \(p\)-vector spaces for single-valued 1-set contractive mappings ⋮ Fixed point theorem in subsets of topological vector spaces ⋮ Nonlinear analysis by applying best approximation method in \(p\)-vector spaces

Cites Work

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• Shrinkable neighborhoods in Hausdorff linear spaces
• Leray-Schauder theory without local convexity
• A re-examination of the Roberts example of a compact convex set without extreme points
• Admissibility, homeomorphism extension and the AR-property in topological linear spaces
• No Roberts space is a counter-example to Schauder's conjecture
• On the Leray-Schauder alternative
• The fixed point property for weakly admissible compact convex sets: Searching for a solution to Schauder's conjecture
• Über positive Eigenwerte kompakter Abbildungen in topologischen Vektorräumen
• Ein Fixpunktsatz
• A compact convex set with no extreme points
• Every Needle Point Space Contains a Compact Convex AR-Set with no Extreme Points
• Un espace métrique linéaire qui n'est pas un rétracte absolu
• The AR-property for Roberts’ example of a compact convex set with no extreme points Part 1: General result
• The AR-property for Roberts’ example of a compact convex set with no extreme points Part 2: Application to the example
• Fixed Point Theorems for Multi-Valued Transformations
• Leray-Schauder spaces

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