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An inertial extrapolation method for multiple-set split feasibility problem
Journal of Inequalities and Applications ( IF 1.6 ) Pub Date : 2020-11-17 , DOI: 10.1186/s13660-020-02508-4
Guash Haile Taddele , Poom Kumam , Anteneh Getachew Gebrie

In this paper, we propose an iterative algorithm with inertial extrapolation to approximate the solution of multiple-set split feasibility problem. Based on Lopez et al. (Inverse Probl. 28(8):085004, 2012), we have developed a self-adaptive technique to choose the stepsizes such that the implementation of our algorithm does not need any prior information about the operator norm. We then prove the strong convergence of a sequence generated by our algorithm. We also present numerical examples to illustrate that the acceleration of our algorithm is effective.

中文翻译:

多集分裂可行性问题的惯性外推法

在本文中,我们提出了一种具有惯性外推的迭代算法,以近似求解多集分裂可行性问题。基于Lopez等。(Inverse Probl。28(8):085004,2012),我们开发了一种自适应技术来选择逐步大小,这样我们算法的实现就不需要任何关于算子范数的先验信息。然后,我们证明了由我们的算法生成的序列的强收敛性。我们还提供了数值示例来说明我们的算法的加速是有效的。
更新日期:2020-11-17
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