This paper introduces two-step inertial Tseng’s extragradient methods with self-adaptive step sizes for solving quasimonotone variational inequalities in real Hilbert spaces. Under suitable conditions on the iterative parameters, weak convergence of the sequence generated by the proposed algorithms is obtained. Numerical results demonstrate the efficiency of the methods compared to others available ones in literature.

中文翻译：

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拟单调变分不等式问题两步惯性曾氏超梯度方法的收敛性


本文介绍了两步惯性 Tseng 的自适应步长超梯度方法，用于求解实希尔伯特空间中的拟单调变分不等式。在迭代参数合适的条件下，所提出的算法生成的序列具有弱收敛性。数值结果证明了该方法与文献中其他可用方法相比的效率。