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A strongly convergent Mann-type inertial algorithm for solving split variational inclusion problems
Optimization and Engineering ( IF 2.1 ) Pub Date : 2020-04-30 , DOI: 10.1007/s11081-020-09501-2
Pham Ky Anh , Duong Viet Thong , Vu Tien Dung

In this paper, we propose a new iterative method for finding an element of the solution set of a split variational inclusion problem in real Hilbert spaces. The iterative scheme is based on a well-known Mann-type method to obtain strong convergence and an inertial method to speed up the convergence rate. We also apply the proposed algorithm to studying the split feasibility problem. Finally, we give some numerical results which show that our proposed algorithm is efficient and implementable from the numerical point of view.



中文翻译:

解决分裂变分包含问题的强收敛曼式惯性算法

在本文中,我们提出了一种新的迭代方法,用于在实际希尔伯特空间中寻找分裂变分包含问题的解集的元素。迭代方案基于众所周知的Mann型方法来获得强收敛性,并基于惯性方法来加快收敛速度​​。我们还将所提出的算法用于研究分裂可行性问题。最后,我们给出了一些数值结果,从数值的观点来看,我们提出的算法是有效且可实现的。

更新日期:2020-04-30
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