4.6 Article

The extragradient algorithm with inertial effects for solving the variational inequality

Journal

OPTIMIZATION
Volume 65, Issue 12, Pages 2217-2226

Publisher

TAYLOR & FRANCIS LTD
DOI: 10.1080/02331934.2016.1239266

Keywords

Variational inequality; extragradient algorithm; inertial type algorithm; weak convergence

Funding

  1. National Natural Science Foundation of China [61379102]
  2. Fundamental Research Funds for the Central Universities [3122016L006]
  3. Foundation of Tianjin Key Lab for Advanced Signal Processing

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In this article, we introduce an algorithms by incorporating inertial terms in the extragradient algorithm. A weak convergence theorem is established for the proposed algorithm. Numerical experiments show that the inertial algorithms speed up the original ones.

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