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A System of Random Nonlinear Variational Inclusions Involving Random Fuzzy Mappings and -Monotone Set-Valued Mappings

Journal of Inequalities and Applications volume 2010, Article number: 123524 (2010) Cite this article

Abstract

We introduce and study a new system of random nonlinear generalized variational inclusions involving random fuzzy mappings and set-valued mappings with -monotonicity in two Hilbert spaces and develop a new algorithm which produces four random iterative sequences. We also discuss the existence of the random solutions to this new kind of system of variational inclusions and the convergence of the random iterative sequences generated by the algorithm.

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  1. Collegeof Mathematics, Sichuan University, Chengdu, Sichuan, 610064, China

    Xin-kun Wu & Yun-zhi Zou

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  1. Xin-kun Wu
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  2. Yun-zhi Zou
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Correspondence to Yun-zhi Zou.

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Wu, Xk., Zou, Yz. A System of Random Nonlinear Variational Inclusions Involving Random Fuzzy Mappings and -Monotone Set-Valued Mappings. J Inequal Appl 2010, 123524 (2010). https://doi.org/10.1155/2010/123524

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  • DOI: https://doi.org/10.1155/2010/123524

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