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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

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