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Bibliographic Details
Main Authors: Wang, Meiying, Liu, Hongwei, Yang, Jun
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2506.07349
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Table of Contents:
  • In this paper, we employ Tseng's extragradient method with the self-adaptive stepsize to solve variational inequality problems involving non-Lipschitz continuous and quasimonotone operators in real Hilbert spaces. The convergence of the proposed method is analyzed under some mild assumptions. The key advantages of the method are that it does not require the operator associated with the variational inequality to be Lipschitz continuous and that it adopts the self-adaptive stepsize. Numerical experiments are also provided to illustrate the effectiveness and superiority of the method.