New algorithms for the split variational inclusion problems and application to split feasibility problems

Authors: Lương Văn Long, Duong Viet Thong, Vũ Tiến Dũng, Dương Viết Thông,

https://www.tandfonline.com/doi/abs/10.1080/02331934.2019.1631821

Publisher, magazine: ,

Publication year: 2019

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Abstract

In this paper, we suggest two new iterative methods for finding an element of the solution set of split variational inclusion problem in real Hilbert spaces. Under suitable conditions, we present weak and strong convergence theorems for these methods. We also apply the proposed algorithms to study the split feasibility problem. Finally, we give some numerical results which show that our proposed algorithms are efficient and implementable from the numerical point of view.

Tags: Split variational inclusion problem, inertial method, Mann method, viscosity method, split feasibility problem