English

An inertial Tseng's extragradient method for solving multi-valued variational inequalities with one projection

Optimization and Control 2020-11-26 v1

Abstract

In this paper, we introduce an inertial Tseng's extragradient method for solving multi-valued variational inequalits, in which only one projection is needed at each iterate. We also obtain the strong convergence results of the proposed algorithm, provided that the multi-valued mapping is continuous and pseudomonotone with nonempty compact convex values. Moreover, numerical simulation results illustrate the efficiency of our method when compared to existing methods.

Keywords

Cite

@article{arxiv.2011.12825,
  title  = {An inertial Tseng's extragradient method for solving multi-valued variational inequalities with one projection},
  author = {Changjie Fang and Ruirui Zhang and Shenglan Chen},
  journal= {arXiv preprint arXiv:2011.12825},
  year   = {2020}
}
R2 v1 2026-06-23T20:30:27.834Z