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  • Research Article
  • Open Access

A Dual of the Compression-Expansion Fixed Point Theorems

Fixed Point Theory and Applications20072007:090715

  • Received: 5 June 2007
  • Accepted: 11 September 2007
  • Published:


This paper presents a dual of the fixed point theorems of compression and expansion of functional type as well as the original Leggett-Williams fixed point theorem. The multi-valued situation is also discussed.


  • Point Theorem
  • Differential Geometry
  • Fixed Point Theorem
  • Computational Biology
  • Functional Type


Authors’ Affiliations

College of Arts and Sciences, Dakota State University, Madison, SD 57042, USA
Department of Mathematics, Baylor University, Waco, TX 76798, USA
Department of Mathematics, National University of Ireland, Galway, Ireland


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© Richard Avery et al. 2007

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.