An inertial projection and contraction method for finding common solutions to pseudo-monotone variational inequalities

Abstract

In this paper, we propose a new inertial projection and contraction method for finding common solutions to variational inequalities in a real Hilbert space. We also obtain the strong convergence theorem for the proposed algorithm with pseudo-monotone and $L$-Lipschitz continuous mappings. Finally, we present an example to support the strong convergence theorem.