Abstract
Y In this paper, using proximal-point mapping of strongly maximal P -eta-monotone mapping and the fixed point formulation, we suggest and analyze a random iterative scheme for finding the approximate solution of a random generalized nonlinear implicit variational-like inclusion problem involving random fuzzy mappings in real separable Hilbert space. Further, we prove the existence of solution and discuss the convergence analysis of iterative scheme of this class of inclusion problem. Our results can be viewed as a refinement and improvement of some known results in the literature.