Krasnoselskii–Mann theorem

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo nonexpansive mappings
gptkbp:concerns fixed point theory
gptkbp:field functional analysis
https://www.w3.org/2000/01/rdf-schema#label Krasnoselskii–Mann theorem
gptkbp:namedAfter Mark Krasnoselskii
William Robert Mann
gptkbp:state the sequence generated by the Mann iteration converges weakly to a fixed point of a nonexpansive mapping in a Hilbert space
gptkbp:usedIn gptkb:Banach_spaces
gptkb:Hilbert_spaces
gptkbp:yearProposed 1955
gptkbp:bfsParent gptkb:Browder_fixed-point_theorem
gptkbp:bfsLayer 7