6533b873fe1ef96bd12d5617

RESEARCH PRODUCT

Stability of the Fixed Point Property for Nonexpansive Mappings

Antonio Jiménez-meladoEnrique Llorens-fusterJesús Garcia-falset

subject

Pure mathematicsStructure (category theory)Regular polygonBanach spaceFixed-point propertyStability (probability)MathematicsSeparable space

description

In 1971 Zidler [Zi 71] showed that every separable Banach space (X, ‖·‖) admits an equivalent renorming, (X, ‖·‖0), which is uniformly convex in every direction (UCED), and consequently it has weak normal structure and so the weak fixed point property (WFPP) [D-J-S 71].

yearjournalcountryeditionlanguage
2001-01-01
https://doi.org/10.1007/978-94-017-1748-9_7