Modified Mann-type inertial subgradient extragradient methods for solving variational inequalities in real Hilbert spaces

Abstract

This paper is to investigate the monotone variational inequalities (VIPs) in real Hilbert spaces. We constructed two iterative algorithms  based on subgradient extragradient algorithms and Tseng's algorithms for solving VIPs. Convergence analysis of the suggested methods are proved. Several numerical examples to illustrate the efficiency of the methods are given.