Author:
Van Hieu Dang,Muu Le Dung,Quy Pham Kim
Abstract
<p style='text-indent:20px;'>The paper proposes some new iterative algorithms for solving a split variational inclusion problem involving maximally monotone multi-valued operators in a Hilbert space. The algorithms are constructed around the resolvent of operator and the regularization technique to get the strong convergence. Some stepsize rules are incorporated to allow the algorithms to work easily. An application of the proposed algorithms to split feasibility problems is also studied. The computational performance of the new algorithms in comparison with others is shown by some numerical experiments.</p>
Publisher
American Institute of Mathematical Sciences (AIMS)
Subject
Applied Mathematics,Control and Optimization,Strategy and Management,Business and International Management,Applied Mathematics,Control and Optimization,Strategy and Management,Business and International Management
Reference36 articles.
1. P. K. Anh, D. V. Hieu.Parallel hybrid iterative methods for variational inequalities, equilibrium problems, and common fixed point problems, Vietnam J. Math., 44 (2016), 351-374.
2. C. Byrne.Iterative oblique projection onto convex sets and the split feasibility problems, Inverse Problems, 18 (2002), 441-453.
3. C. Byrne.A unified treatment of some iterative algorithms in signal processing and image reconstruction, Inverse Problems, 20 (2004), 103-120.
4. C. Byrne, Y. Censor, A. Gibali.Weak and strong convergence of algorithms for the split common null point problem, J. Nonlinear Convex Anal., 13 (2012), 759-775.
5. H. Brézis, I. I. Chapitre.Opérateurs maximaux monotones, North-Holland Math. Stud., 5 (1973), 19-51.