Earle–Hamilton fixed-point theorem

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.

References

• Earle, Clifford J.; Hamilton, Richard S. (1970), A fixed point theorem for holomorphic mappings, Proc. Sympos. Pure Math., vol. XVI, American Mathemetical Society, pp. 61–65
• Harris, Lawrence A. (2003), "Fixed points of holomorphic mappings for domains in Banach spaces", Abstr. Appl. Anal., 5: 261–274