Fixed Point Theory and Applications 
Volume 2005 (2005), Issue 1, Pages 87-91
doi:10.1155/FPTA.2005.87

A fixed point theorem for analytic functions

Valentin Matache

 Department of Mathematics, University of Nebraska, Omaha 68182, NE, USA
Received 4 August 2004

Abstract

We prove that each analytic self-map of the open unit disk which interpolates between certain n-tuples must have a fixed point.