Earle–Hamilton fixed-point theorem: Difference between revisions

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In [[mathematics]], the '''Earle–Hamilton fixed point theorem''' is a result in [[geometric function theory]] giving sufficient conditions for a [[holomorphic mapping]] of an open ___domain in a complex [[Banach space]] into itself to have a fixed point. The result was proved in 1968 by Clifford Earle and [[Richard Hamilton (mathematician)|RichardS. Hamilton]] by showing that, with respect to the [[Carathéodory metric]] on the ___domain, the holomorphic mapping becomes a [[contraction mapping]] to which the [[Banach fixed-point theorem]] can be applied.

==Statement==