In this paper, some new accelerated iterative schemes are proposed to solve the variational inequality problem with a pseudomonotone and uniformly continuous operator in real Hilbert spaces. Strong convergence theorems of the suggested algorithms are obtained without the prior knowledge of the Lipschitz constant of the operator. Some numerical experiments and applications are performed to illustrate the advantages of the proposed methods with respect to several related ones.

中文翻译：

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非 Lipschitz 算子伪单调变分不等式的惯性投影和收缩方法及其应用

在本文中，提出了一些新的加速迭代方案来解决实 Hilbert 空间中具有伪单调一致连续算子的变分不等式问题。在不知道算子的 Lipschitz 常数的情况下，获得了建议算法的强收敛定理。进行了一些数值实验和应用，以说明所提出的方法相对于几种相关方法的优点。