``Lion-man'' and the fixed point property (Q2273261)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | ``Lion-man'' and the fixed point property |
scientific article |
Statements
``Lion-man'' and the fixed point property (English)
0 references
18 September 2019
0 references
The main result of the paper is that for a nonempty, closed and strongly convex domain \(A\) in a locally compact geodesic space, the following three conditions are equivalent: (i) \(A\) is compact; (ii) \(A\) has the fixed point property for continuous mappings; (iii) the lion always wins the discrete Lion-Man game played in \(A\).
0 references
fixed point property
0 references
lion and man game
0 references
compactness
0 references
geodesic space
0 references
