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

Journal of Inequalities and Applications volume 2007, Article number: 05398 (2007) Cite this article

Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, Tianjin Polytechinc University, Tianjin, 300160, China

    Meijuan Shang & Yongfu Su

  2. Department of Mathematics, Shijiazhuang University, Shijiazhuang, 050035, China

    Meijuan Shang

  3. Department of Mathematics, Gyeongsang National University, Chinju, 660-701, Korea

    Xiaolong Qin

Authors
  1. Meijuan Shang
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  2. Yongfu Su
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  3. Xiaolong Qin
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Corresponding author

Correspondence to Yongfu Su.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Shang, M., Su, Y. & Qin, X. A General Projection Method for a System of Relaxed Cocoercive Variational Inequalities in Hilbert Spaces. J Inequal Appl 2007, 05398 (2007). https://doi.org/10.1155/2007/45398

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  • DOI: https://doi.org/10.1155/2007/45398

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