The zeros of monotone operators for the variational inclusion problem in Hilbert spaces

Abstract In this paper, we introduce a regularization method for solving the variational inclusion problem of sum two monotone operators in real Hilbert spaces. We suggest and analyze under some mild appropriate conditions imposed on parameters, which allow us to obtain short proof another strong convergence theorem problem. also apply our main result fixed point nonexpansive inequality problem, common strict pseudocontractions, convex minimization split feasibility Finally, provide numerical experiments illustrate behavior show effectiveness sequences constructed by inertial technique.