A GENERALIZED RANDOM NONLINEAR VARIATIONAL INCLUSION FOR MULTI-VALUED RANDOM OPERATORS IN A UNIFORMLY SMOOTH BANACH SPACE.

In this paper, we introduce and study the random nonlinear variational inclusion problem with multi-valued random operators. We define a random iterative algorithm for finding the approximate solutions of class of random variational inclusions and establish the convergence of random iterative sequence generated by proposed algorithm in a uniformly smooth Banach space. Our result in this paper improves and generalizes some know corresponding results in the literature. [ABSTRACT FROM AUTHOR]