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Wiener-Hopf Equations Technique for General Variational Inequalities Involving Relaxed Monotone Mappings and Nonexpansive Mappings

Journal of Inequalities and Applications volume 2007, Article number: 064947 (2007) Cite this article

Abstract

We show that the general variational inequalities are equivalent to the general Wiener-Hopf equations and use this alterative equivalence to suggest and analyze a new iterative method for finding the common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the general variational inequality involving multivalued relaxed monotone operators. Our results improve and extend recent ones announced by many others.

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Authors and Affiliations

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

    Yongfu Su & Meijuan Shang

  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. Yongfu Su
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  2. Meijuan Shang
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  3. Xiaolong Qin
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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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Su, Y., Shang, M. & Qin, X. Wiener-Hopf Equations Technique for General Variational Inequalities Involving Relaxed Monotone Mappings and Nonexpansive Mappings. J Inequal Appl 2007, 064947 (2007). https://doi.org/10.1155/2007/64947

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