SIAM Journal on Optimization, Volume 30, Issue 2, Page 1451-1472, January 2020.
In this work, we propose a simple modification of the forward-backward splitting method for finding a zero in the sum of two monotone operators. Our method converges under the same assumptions as Tseng's forward-backward-forward method, namely, it does not require cocoercivity of the single-valued operator. Moreover, each iteration only uses one forward evaluation rather than two as is the case for Tseng's method. Variants of the method incorporating a linesearch, relaxation and inertia, or a structured three operator inclusion are also discussed.

中文翻译：

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无矫顽力的单调包含的前向后拆分方法

SIAM优化杂志，第30卷，第2期，第1451-1472页，2020
年1月。在这项工作中，我们提出了对前向后向拆分方法的简单修改，以在两个单调算子的总和中找到零。我们的方法在与Tseng的前进-后退-前进方法相同的假设下收敛，即，它不需要单值算子的矫顽力。此外，每次迭代都只使用一个前向评估，而不是Tseng方法的两次评估。还讨论了结合了线搜索，松弛和惯性或结构化的三个算子包含的方法的变体。