论文标题

基于投影基于投影的前向后分裂算法单调包含问题

Accelerated projection-based forward-backward splitting algorithms for monotone inclusion problems

论文作者

Tan, Bing, Zhou, Zheng, Qin, Xiaolong

论文摘要

在本文中,基于惯性和Tseng的想法,我们提出了两种基于投影的算法,以解决无限维度希尔伯特空间中的单调包含问题。在一定条件下获得了强收敛的溶液定理。提出了一些数值实验,以说明我们的算法比现有结果有效。

In this paper, based on inertial and Tseng's ideas, we propose two projection-based algorithms to solve a monotone inclusion problem in infinite dimensional Hilbert spaces. Solution theorems of strong convergence are obtained under the certain conditions. Some numerical experiments are presented to illustrate that our algorithms are efficient than the existing results.

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