Double inertial projection method for variational inequalities with quasi-monotonicity
Ke Wang, Yuanheng Wang, Olaniyi S. Iyiola, Yekini Shehu · Optimization · 2022
This paper presents a projection and contraction method with a double inertial extrapolation step and self-adaptive step sizes to solve variational inequalities with quasi-monotonicity in real Hilbert spaces. Weak and strong convergence results are obtained under some mild conditions. We also give linear convergence results under a special case of our proposed method. Preliminary numerical results show that our proposed method is competitive with other related methods in the literature.