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  • Research Article
  • Open Access

Nonexpansive mappings defined on unbounded domains

Fixed Point Theory and Applications20062006:82080

  • Received: 18 January 2006
  • Accepted: 23 January 2006
  • Published:


We obtain fixed point theorems for nonexpansive mappings defined on unbounded sets. Our assumptions are weaker than the asymptotically contractive condition recently introduced by Jean-Paul Penot.


  • Point Theorem
  • Differential Geometry
  • Fixed Point Theorem
  • Nonexpansive Mapping
  • Contractive Condition


Authors’ Affiliations

Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, 65000, Thailand
Department of Mathematics, The University of Iowa, Iowa City, IA 52242-1419, USA


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© A. Kaewcharoen andW. A. Kirk. 2006

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.