Contraction Mappings
A function
on a metric space
is a contracting mapping if a real number
exists such that for all
Suppose
is
is the ordinary Euclidean metric and
Hence
is a contraction mapping with
A functionon a metric spaceis a contracting mapping if a real numberexists such that for all
Supposeisis the ordinary Euclidean metric and
Henceis a contraction mapping with