In this article, we analyze the simple projection method proposed by Izuchukwu, Shehu, and Yao [24] for solving variational inequality problems by incorporating momentum terms. A new step-size strategy is also introduced, in which the step-size sequence increases after a finite number of iterations. Under the assumptions that the underlying operator is quasimonotone and Lipschitz continuous, we establish weak convergence of the proposed method. The effectiveness and efficiency of the algorithm are demonstrated through numerical experiments and compared with existing approaches from the literature. Finally, we applied the proposed algorithm to a signal recovery problem, where it demonstrated superior performance compared to competing approaches.
