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

Authors: Duong Viet Thong, Phan Tự Vượng, Dương Viết Thông,

https://doi.org/10.1080/02331934.2019.1616191

Publisher, magazine: ,

Publication year: 2019

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Abstract

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

Tags: Forward–Backward–Forward method, extragradient method, Mann-type method, variational inequality, pseudo-monotone operator