Strong Convergence of a New Iterative Algorithm for Split Monotone Variational Inclusion Problems

被引：1

作者：

Ceng, Lu-Chuan ^{[1
]}

Yuan, Qing ^{[2
]}

机构：

[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

[2] Linyi Univ, Sch Math & Stat, Linyi 276000, Peoples R China

来源：

MATHEMATICS | 2019年 / 7卷 / 02期

关键词：

split variational inclusion; fixed-point problem; hierarchical optimization problem; nonexpansive mapping; implicit general iterative method; FIXED-POINT PROBLEMS; WEAK-CONVERGENCE; FEASIBILITY; EQUILIBRIUM; MAPPINGS;

D O I：

10.3390/math7020123

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main aim of this work is to introduce an implicit general iterative method for approximating a solution of a split variational inclusion problem with a hierarchical optimization problem constraint for a countable family of mappings, which are nonexpansive, in the setting of infinite dimensional Hilbert spaces. Convergence theorem of the sequences generated in our proposed implicit algorithm is obtained under some weak assumptions.

引用

页数：12

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