Double inertial steps with single projection method for variational inequalities involving non-Lipschitz mappings

Abstract

In this work, we investigate a projection-type method with double inertial terms for solving pseudomonotone variational inequality in real Hilbert spaces. The proposed algorithm combines the techniques of double inertial steps and the projection and contraction method. A sufficient condition for weak convergence is established under pseudomonotonicity and uniform continuity assumptions. Finally, some numerical results are also provided to demonstrate the effectiveness of our method and compare it with recent related methods in the literature.