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  • Research Article
  • Open Access

An Iterative Algorithm of Solution for Quadratic Minimization Problem in Hilbert Spaces

Journal of Inequalities and Applications20102010:717341

  • Received: 24 October 2009
  • Accepted: 28 December 2009
  • Published:


The purpose of this paper is to introduce an iterative algorithm for finding a solution of quadratic minimization problem in the set of fixed points of a nonexpansive mapping and to prove a strong convergence theorem of the solution for quadratic minimization problem. The result of this article improved and extended the result of G. Marino and H. K. Xu and some others.


  • Hilbert Space
  • Minimization Problem
  • Iterative Algorithm
  • Convergence Theorem
  • Nonexpansive Mapping

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Authors’ Affiliations

Department of Mathematics, Cangzhou Normal University, Hebei, Cangzhou, 061001, China
Department of Mathematics, Tianjin Polytechnic University, Tianjin, 300160, China


© Li Liu et al. 2010

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.