Three-dimensional convexity and the fixed point property for nonexpansive mappings (Q1021756)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Three-dimensional convexity and the fixed point property for nonexpansive mappings |
scientific article; zbMATH DE number 5563061
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Three-dimensional convexity and the fixed point property for nonexpansive mappings |
scientific article; zbMATH DE number 5563061 |
Statements
Three-dimensional convexity and the fixed point property for nonexpansive mappings (English)
0 references
9 June 2009
0 references
The main result of the present paper says that, if the unit sphere of a Banach space \(X\) does not have triangles with the sides of length larger than 4/3, then \(X\) has the fixed point property.
0 references
Banach space
0 references
nonexpansive mappings
0 references
fixed point property (FPP)
0 references
modulus of convexity
0 references
characteristic of convexity
0 references
uniform nonsquareness
0 references
uniform nonoctahedralness
0 references
0 references
