Extragradient methods for solving non-Lipschitzian pseudo-monotone variational inequalities

Authors: Duong Viet Thong, Aviv Gibali, Dương Viết Thông,

https://doi.org/10.1007/s11784-018-0656-9

Publisher, magazine: ,

Publication year: 2019

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Abstract

The purpose of this paper is to study and analyze two new extragradient methods for solving non-Lipschitzian and pseudo-monotone variational inequalities in real Hilbert spaces. Under suitable conditions, weak and strong convergence theorems of the proposed methods are established. We present academic and numerical examples for illustrating the behavior of the proposed algorithms.

Tags: Extragradient method, Halpern method, variational inequality, pseudo-monotone operator