We introduce and study a class of a system of random set-valued variational inclusion problems.\r\nSome conditions for the existence of solutions of such problems are provided, when the operators\r\nare contained in the classes of generalized monotone operators, so-called A, m, ?-monotone operator.\r\nFurther, the stability of the iterative algorithm for finding a solution of the considered problem\r\nis also discussed.
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