A new modified subgradient extragradient method for solving variational inequalities

Stanisław Migórski, Changjie Fang, Shengda Zeng · Applicable Analysis · 2019

The goal of the note is to introduce a new modified subgradient extragradient algorithm for solving variational inequalities in Hilbert spaces. A result on the strong convergence of the algorithm is proved without the knowledge of Lipschitz constant of the operator. Several numerical experiments for the proposed algorithm are presented.

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