ABSTRACT In this paper, we establish lower and upper error bounds for strongly pseudomonotone equilibrium problems with and without Lipschitz condition. Our results generalize and improve some existing results in the literature. Also, we prove the stability of the projection method for this class of problems. The final error of the algorithm can be evaluated through the upper bound of errors in its steps. Some numerical experiments are presented to illustrate the obtained results.

中文翻译：

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强拟单调平衡问题投影法的误差界和稳定性

摘要 在本文中，我们为具有和不具有 Lipschitz 条件的强伪单调平衡问题建立了误差下限和上限。我们的结果概括并改进了文献中的一些现有结果。此外，我们证明了投影方法对此类问题的稳定性。算法的最终误差可以通过其步骤中的误差上限来评估。给出了一些数值实验来说明所获得的结果。