We propose an inertial KM-type extragradient scheme to approximate a common solution of a variational inequality problem and a hierarchical fixed point problem for nonexpansive mappings. This scheme generalizes and unifies a number of known iterative schemes. Furthermore, we discuss the weak convergence for the proposed scheme. We also discuss an example to illustrate the main theorem.

中文翻译：

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用于解决变分不等式和分层不动点问题的惯性KM型超梯度方案

我们提出了一种惯性KM型超梯度方案，以近似求解非膨胀映射的变分不等式问题和分层不动点问题的通用解。该方案概括并统一了许多已知的迭代方案。此外，我们讨论了所提出方案的弱收敛性。我们还将讨论一个例子来说明主要定理。