Author:
Zhou Zheng, ,Tan Bing,Li Songxiao
Abstract
<abstract><p>This paper is to analyze the approximation solution of a split variational inclusion problem in the framework of Hilbert spaces. For this purpose, inertial hybrid and shrinking projection algorithms are proposed under the effect of a self-adaptive stepsize which does not require information of the norms of the given operators. The strong convergence properties of the proposed algorithms are obtained under mild constraints. Finally, a numerical experiment is given to illustrate the performance of proposed methods and to compare our algorithms with an existing algorithm.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
Reference35 articles.
1. Y. Censor, A. Gibali, S. Reich, Algorithms for the split variational inequality problem, Numer. Algorithms, 59 (2012), 301–323. https://doi.org/10.1007/s11075-011-9490-5
2. A. Moudafi, Split monotone variational inclusions, J. Optim. Theory Appl., 150 (2011), 275–283. https://doi.org/10.1007/s10957-011-9814-6
3. P. K. Anh, D. V. Thong, V. T. Dung, A strongly convergent Mann-type inertial algorithm for solving split variational inclusion problems, Optim. Eng., 22 (2021), 159–185. https://doi.org/10.1007/s11081-020-09501-2
4. C. Byrne, Y. Censor, A. Gibali, S. Reich, Weak and strong convergence of algorithms for the split common null point problem, J. Nonlinear Convex Anal., 13 (2011), 759–775.
5. M. Gabeleh, N. Shahzad, Existence and uniqueness of a solution for some nonlinear programming problems, Mediterr. J. Math., 12 (2015), 133–C146. https://doi.org/10.1007/s00009-013-0380-z
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