In this paper, we propose an inertial method for solving a common solution to
fixed point and Variational Inequality Problem in Hilbert spaces. Under some standard and
suitable assumptions on the control parameters, we prove that the sequence generated by
the proposed algorithm converges strongly to an element in the solution set of Variational
Inequality Problem associated with a quasimonotone operator which is also solution to a
fixed point problem for a demimetric mapping. Finally, we give some numerical experiments
for supporting our main results and also compare with some earlier announced methods in
the literature.
