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  • Research Article
  • Open Access

Towards viscosity approximations of hierarchical fixed-point problems

Fixed Point Theory and Applications20062006:95453

  • Received: 10 February 2006
  • Accepted: 18 September 2006
  • Published:


We introduce methods which seem to be a new and promising tool in hierarchical fixed-point problems. The goal of this note is to analyze the convergence properties of these new types of approximating methods for fixed-point problems. The limit attained by these curves is the solution of the general variational inequality, , where denotes the normal cone to the set of fixed point of the original nonexpansive mapping and a suitable nonexpansive mapping criterion. The link with other approximation schemes in this field is also made.


  • Differential Geometry
  • Computational Biology
  • Viscosity Approximation


Authors’ Affiliations

GRIMAAG, Département Scientifique interfacultaires, Université Antilles Guyane, Schelcher, Martinique, 97200, France


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© A. Moudafi and P.-E. Maingé. 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.