Strong convergence theorems for the split equality variational inclusion problem and fixed point problem in Hilbert spaces

被引:0
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作者
Haili Guo
Huimin He
Rudong Chen
机构
[1] Tianjin Polytechnic University,Department of Mathematics
[2] Xidian University,School of Mathematics and Statistics
关键词
split equality problem; split equality variational inclusion problem; fixed point; variational inequality;
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摘要
In this paper, we propose and investigate two new iterative algorithms for solving the split equality variational inclusion problem in Hilbert spaces. We also prove that the sequences generated by the proposed algorithms converge strongly to a common solution of the split equality variational inclusion problem and fixed points of a family of nonexpansive mappings, which is also an unique solution of a variational inequality as an optimality condition for a minimization problem. The results presented in this paper extend and generalize a variety of existing results in this area.
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