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Projection iterative approximations for a new class of general random implicit quasi-variational inequalities

Journal of Inequalities and Applications volume 2006, Article number: 81261 (2006) Cite this article

Abstract

We introduce a class of projection-contraction methods for solving a class of general random implicit quasi-variational inequalities with random multivalued mappings in Hilbert spaces, construct some random iterative algorithms, and give some existence theorems of random solutions for this class of general random implicit quasi-variational inequalities. We also discuss the convergence and stability of a new perturbed Ishikawa iterative algorithm for solving a class of generalized random nonlinear implicit quasi-variational inequalities involving random single-valued mappings. The results presented in this paper improve and extend the earlier and recent results.

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  1. Department of Mathematics, Sichuan University of Science and Engineering, Zigong, Sichuan, 643000, China

    Heng-You Lan

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  1. Heng-You Lan
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Correspondence to Heng-You Lan.

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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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Lan, HY. Projection iterative approximations for a new class of general random implicit quasi-variational inequalities. J Inequal Appl 2006, 81261 (2006). https://doi.org/10.1155/JIA/2006/81261

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