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

被引：9

作者：

Guo, Haili ^{[1
]}

He, Huimin ^{[2
]}

Chen, Rudong ^{[1
]}

机构：

[1] Tianjin Polytech Univ, Dept Math, Tianjin 300387, Peoples R China

[2] Xidian Univ, Sch Math & Stat, Xian 710071, Peoples R China

来源：

FIXED POINT THEORY AND APPLICATIONS | 2015年

关键词：

split equality problem; split equality variational inclusion problem; fixed point; variational inequality; NONEXPANSIVE-MAPPINGS; ITERATIVE METHOD; APPROXIMATION; FEASIBILITY; ALGORITHMS; SETS;

D O I：

10.1186/s13663-015-0470-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：1 / 18

页数：18

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