Copyright © 2009 Heng-You Lan et al. 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 class of general nonlinear random multivalued operator equations involving generalized -accretive
mappings in Banach spaces. By using the Chang's lemma and the resolvent
operator technique for generalized -accretive mapping due to Huang and Fang (2001), we also prove the existence theorems of the solution and convergence
theorems of the generalized random iterative procedures with errors for this
nonlinear random multivalued operator equations in -uniformly smooth Banach spaces. The results presented in this paper improve and generalize some
known corresponding results in iterature.