An alternated inertial Popov’s method for solving Pseudomonotone variational inequalities

In this work, we propose a new modified Popov’s method by using inertial effect for solving pseudomonotone variational inequalities in real Hilbert spcaes, which does not require prior information about the Lipschitz constant of the mapping, and only needs to compute the value of the mapping and once a projection onto the feasible set at each iterative step. We present weak a convergence theorem of the proposed algorithm. Our results generalize some related results in the literature and primary numerical experiments demonstrate the applicability of the scheme.