We consider variational inequalities governed by strongly pseudomonotone vector fields on Hadamard manifolds. The existence and uniqueness results of the solution, linear convergence, error estimates and finite convergence for sequences generated by a modified projection method for solving variational inequalities are investigated. Some examples and numerical experiments are also given to illustrate our results.

中文翻译：

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Hadamard 流形上由强伪单调向量场控制的变分不等式

我们考虑由 Hadamard 流形上的强伪单调向量场支配的变分不等式。研究了求解变分不等式的改进投影法生成的序列的解、线性收敛性、误差估计和有限收敛性的存在性和唯一性结果。还给出了一些例子和数值实验来说明我们的结果。