Earle–Hamilton fixed-point theorem: Difference between revisions

Revision as of 15:56, 19 June 2012

Revision as of 16:00, 19 June 2012

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:<math>\displaystyle{d(f(x),f(y))\le (1+\delta)^{-1} d(x,y).}</math>

The Banach fixed-point theorem can be applied to the restriction of ''f'' to the closure of ''f''(''D'') on which ''d'' defines a complete metric, defining the same

topology as the norm.

==References==