Volume 34 • Number 2 • 2011   • Random Nonlinear Variational Inclusions Involving \(H(\cdot,\cdot)\)-accretive Operator for Random Fuzzy Mappings in Banach Spaces Wen-Bin Zhang Abstract. In this paper we introduce and study a new class of random nonlinear variational inclusions involving \(H(\cdot,\cdot)\)-accretive operator for fuzzy mapping in Banach space. By using the new resolvent operator technique for \(H(\cdot,\cdot)\)-accretive operators duo to Zou and Huang, we construct a new iterative algorithm for solving such random nonlinear variational inclusion problem. Under some suitable conditions, we prove the existence of random solution and the convergence of random iterative sequences generated by the algorithm. The results presented in this paper improve and generalize some known corresponding results in the literature. 2010 Mathematics Subject Classification: 90C33, 47S10. Full text: PDF