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Journal of Inequalities and Applications
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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.

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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

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  1. Jinlong Kang
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  2. Yongfu Su
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  3. Xin Zhang
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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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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

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

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