Strong convergence theorem for split monotone variational inclusion with constraints of variational inequalities and fixed point problems

被引：13
|
作者：
Guan, Jin-Lin [1 ]
Ceng, Lu-Chuan [1 ]
Hu, Bing [2 ,3 ]
机构：
[1] Shanghai Normal Univ, Dept Math, Shanghai, Peoples R China
[2] York Univ, LAMPS, Toronto, ON, Canada
[3] York Univ, Dept Math & Stat, Toronto, ON, Canada
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2018年
关键词：
Strong convergence; Iterative scheme; Split monotone variational inclusion; Variational inequality; Fixed point; k-strict pseudo-contractions; Hilbert spaces; STRICT PSEUDO-CONTRACTIONS; NONEXPANSIVE-MAPPINGS; HILBERT-SPACES; ITERATIVE METHODS; APPROXIMATION; ALGORITHMS; OPERATORS; WEAK;
D O I：
10.1186/s13660-018-1905-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, inspired by Jitsupa et al. (J. Comput. Appl. Math. 318:293-306, 2017), we propose a general iterative scheme for finding a solution of a split monotone variational inclusion with the constraints of a variational inequality and a fixed point problem of a finite family of strict pseudo-contractions in real Hilbert spaces. Under very mild conditions, we prove a strong convergence theorem for this iterative scheme. Our result improves and extends the corresponding ones announced by some others in the earlier and recent literature.
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页数：29
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