In this paper, we study the problem of nding a common solution to a xed point
problem involving a nite family of -demimetric operators and a split monotone inclusion
problem with monotone and Lipschitz continuous operator in real Hilbert spaces. Motivated
by the inertial technique and the Tseng method, a new and e cient iterative method for
solving the aforementioned problem is introduced and studied. Also, we establish a strong
convergence result of the proposed method under standard and mild conditions.
