Using the viscosity approximation method introduced by Moudafi (J Math Anal Appl 241:46–55, 2000), we can obtain strong convergence theorems for monotone increasing G-nonexpansive mappings in Hadamard spaces endowed with graphs. We also give sufficient conditions for the existence of solutions of the variational inequality problem in this setting. Our results generalize and improve many results in the literature.

中文翻译：

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具有图的Hadamard空间中多值G-非膨胀映射的粘度逼近方法

使用Moudafi（J Math Anal Appl 241：46–55，2000）引入的粘度逼近方法，我们可以获得在具有图的Hadamard空间中单调递增G-非膨胀映射的强收敛定理。我们还为在这种情况下变分不等式问题的解的存在提供了充分的条件。我们的结果概括并改进了文献中的许多结果。