A System of Random Nonlinear Variational Inclusions Involving Random Fuzzy Mappings and <inline-formula> <graphic file="1029-242X-2010-123524-i1.gif"/></inline-formula>-Monotone Set-Valued Mappings

Abstract

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.