A single projection algorithm with double inertial extrapolation steps for solving pseudomonotone variational inequalities in Hilbert space

Abstract

In this work, we investigate a single projection method with double inertial extrapolation steps and self-adaptive step sizes for solving pseudomonotone variational inequality problems in a real Hilbert space. Weak and linear convergence are presented under suitable conditions. Some simple numerical examples are given to illustrate the performance of the proposed algorithm.