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  • Research Article
  • Open Access

A General Projection Method for a System of Relaxed Cocoercive Variational Inequalities in Hilbert Spaces

Journal of Inequalities and Applications20072007:05398

  • Received: 2 June 2007
  • Accepted: 19 July 2007
  • Published:


We consider a new algorithm for a generalized system for relaxed cocoercive nonlinear inequalities involving three different operators in Hilbert spaces by the convergence of projection methods. Our results include the previous results as special cases extend and improve the main results of R. U. Verma (2004), S. S. Chang et al. (2007), Z. Y. Huang and M. A. Noor (2007), and many others.


  • Hilbert Space
  • Variational Inequality
  • Generalize System
  • Projection Method
  • General Projection


Authors’ Affiliations

Department of Mathematics, Tianjin Polytechinc University, Tianjin, 300160, China
Department of Mathematics, Shijiazhuang University, Shijiazhuang, 050035, China
Department of Mathematics, Gyeongsang National University, Chinju, 660-701, Korea


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© Meijuan Shang 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.