49 Calculus of variations and optimal control; optimization -- 49J Existence theories 49J40 Variational methods including variational inequalities
65 Numerical analysis -- 65J Numerical analysis in abstract spaces 65J05 General theory
65 Numerical analysis -- 65K Mathematical programming, optimization and variational techniques 65K15 Numerical methods for variational inequalities and related problems
Summary: ``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.''