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  • Research Article
  • Open Access

Iterative Algorithm for Approximating Solutions of Maximal Monotone Operators in Hilbert Spaces

Fixed Point Theory and Applications20072007:032870

  • Received: 11 October 2006
  • Accepted: 11 December 2006
  • Published:


We first introduce and analyze an algorithm of approximating solutions of maximal monotone operators in Hilbert spaces. Using this result, we consider the convex minimization problem of finding a minimizer of a proper lower-semicontinuous convex function and the variational problem of finding a solution of a variational inequality.


  • Hilbert Space
  • Approximate Solution
  • Variational Inequality
  • Convex Function
  • Minimization Problem


Authors’ Affiliations

Department of Mathematics, Tianjin Polytechnic University, Tianjin, 300160, China


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© Y. Yao and R. Chen. 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.