Skip to main content
Journal of Inequalities and Applications
Download PDF

General Iterative Algorithm for Nonexpansive Semigroups and Variational Inequalities in Hilbert Spaces

Journal of Inequalities and Applications volume 2010, Article number: 264052 (2010) Cite this article

Abstract

We introduce a general iterative method for finding the solution of the variational inequality problem over the fixed point set of a nonexpansive semigroup in a Hilbert space. We prove that the sequence converges strongly to a common element of the above two sets under some parameters controlling conditions. Our results improve and generalize many known corresponding results.

Publisher note

To access the full article, please see PDF.

Author information

Authors and Affiliations

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

    Jinlong Kang, Yongfu Su & Xin Zhang

  2. Department of Foundation, Xian Communication Institute, Xian, 710106, China

    Jinlong Kang

Authors
  1. Jinlong Kang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yongfu Su
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Xin Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yongfu Su.

Rights and permissions

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.

Reprints and Permissions

About this article

Cite this article

Kang, J., Su, Y. & Zhang, X. General Iterative Algorithm for Nonexpansive Semigroups and Variational Inequalities in Hilbert Spaces. J Inequal Appl 2010, 264052 (2010). https://doi.org/10.1155/2010/264052

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1155/2010/264052

Keywords

  • Hilbert Space
  • Variational Inequality
  • Iterative Method
  • Iterative Algorithm
  • Common Element