Open Access

Asymptotic fixed points for nonlinear contractions

Fixed Point Theory and Applications20052005:534975

Received: 29 August 2004

Published: 30 June 2005


Recently, W. A. Kirk proved an asymptotic fixed point theorem for nonlinear contractions by using ultrafilter methods. In this paper, we prove his theorem under weaker assumptions. Furthermore, our proof does not use ultrafilter methods.

Authors’ Affiliations

Department of Mathematics, Computer Science and Engineering, University of Pittsburgh at Bradford


© Chen 2005