In this paper, we introduce a novel iterative method for finding the minimum-norm solution to a pseudomonotone variational inequality problem in Hilbert spaces. We establish strong convergence of the proposed method and its linear convergence under some suitable assumptions. Some numerical experiments are given to illustrate the performance of our method. Our result improves and extends some existing results in the literature.

中文翻译：

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一种寻找伪单调变分不等式最小范数解的新方法

在本文中，我们介绍了一种新颖的迭代方法，用于寻找希尔伯特空间中伪单调变分不等式问题的最小范数解。我们在一些合适的假设下建立了所提出方法的强收敛性及其线性收敛性。给出了一些数值实验来说明我们方法的性能。我们的结果改进并扩展了文献中的一些现有结果。