Modified Tseng's extragradient methods for solving pseudo-monotone variational inequalities

摘要

We propose two modified Tseng's extragradient methods (also known as Forward-Backward-Forward methods) for solving non-Lipschitzian and pseudo-monotone variational inequalities in real Hilbert spaces. Under mild and standard conditions, we obtain the weak and strong convergence of the proposed methods. Numerical examples for illustrating the behaviour of the proposed methods are also presented