In this paper, we investigate the Tseng's extragradient algorithm for non-Lipschitzian variational inequalities with pseudomonotone vector fields on Hadamard manifolds. The convergence analysis of the proposed algorithm is discussed under mild assumptions. Two experiments are provided to illustrate the asymptotical behavior of the algorithm. The results presented in this paper generalize some known results presented in the literature.

中文翻译：

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曾氏Hadamard流形上伪单调变分不等式的超梯度算法

在本文中，我们研究了Hadamard流形上具有伪单调矢量场的非Lipschitzian变分不等式的Tseng的超梯度算法。在温和的假设下讨论了该算法的收敛性分析。提供了两个实验来说明该算法的渐近行为。本文提供的结果概括了文献中提供的一些已知结果。