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A new system of generalized nonlinear relaxed cocoercive variational inequalities

Journal of Inequalities and Applications volume 2006, Article number: 40591 (2006) Cite this article

Abstract

We introduce and study a new system of generalized nonlinear relaxed cocoercive inequality problems and construct an iterative algorithm for approximating the solutions of the system of generalized relaxed cocoercive variational inequalities in Hilbert spaces. We prove the existence of the solutions for the system of generalized relaxed cocoercive variational inequality problems and the convergence of iterative sequences generated by the algorithm. We also study the convergence and stability of a new perturbed iterative algorithm for approximating the solution.

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Authors and Affiliations

  1. Department of Mathematics, Sichuan University, Chengdu, Sichuan, 610064, China

    Ke Ding, Wen-Yong Yan & Nan-Jing Huang

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  1. Ke Ding
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  2. Wen-Yong Yan
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  3. Nan-Jing Huang
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Correspondence to Ke Ding.

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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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Ding, K., Yan, WY. & Huang, NJ. A new system of generalized nonlinear relaxed cocoercive variational inequalities. J Inequal Appl 2006, 40591 (2006). https://doi.org/10.1155/JIA/2006/40591

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