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  • Research Article
  • Open Access

Nonexpansive mappings defined on unbounded domains

Fixed Point Theory and Applications20062006:82080

https://doi.org/10.1155/FPTA/2006/82080

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

Abstract

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.

Keywords

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

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Authors’ Affiliations

(1)
Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, 65000, Thailand
(2)
Department of Mathematics, The University of Iowa, Iowa City, IA 52242-1419, USA

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