Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 123524, 17 pages
Research Article

A System of Random Nonlinear Variational Inclusions Involving Random Fuzzy Mappings and H(,)-Monotone Set-Valued Mappings

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

Received 8 June 2010; Accepted 24 July 2010

Academic Editor: Qamrul Hasan Ansari

Copyright © 2010 Xin-kun Wu and Yun-zhi Zou. 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.


We introduce and study a new system of random nonlinear generalized variational inclusions involving random fuzzy mappings and set-valued mappings with H(,)-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.