Open Access

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

Journal of Inequalities and Applications20102010:123524

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

Received: 8 June 2010

Accepted: 24 July 2010

Published: 5 August 2010

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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Authors’ Affiliations

(1)
Collegeof Mathematics, Sichuan University, Chengdu, China

Copyright

© Xin-kun Wu and Yun-zhi Zou. 2010

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.