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.

引用

页数：29

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