Triple Hierarchical Variational Inequalities, Systems of Variational Inequalities, and Fixed Point Problems

被引：3

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：

multiple hybrid implicit iteration method; triple hierarchical constrained variational inequality; general system of variational inequalities; fixed point; asymptotically nonexpansive mapping; pseudocontractive mapping; strong convergence; Hilbert spaces; NONEXPANSIVE-MAPPINGS; STRONG-CONVERGENCE; WEAK-CONVERGENCE; EXTRAGRADIENT METHOD; ACCRETIVE-OPERATORS; ZERO-POINT; ALGORITHM; MONOTONE; THEOREMS;

D O I：

10.3390/math7020187

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce a multiple hybrid implicit iteration method for finding a solution for a monotone variational inequality with a variational inequality constraint over the common solution set of a general system of variational inequalities, and a common fixed point problem of a countable family of uniformly Lipschitzian pseudocontractive mappings and an asymptotically nonexpansive mapping in Hilbert spaces. Strong convergence of the proposed method to the unique solution of the problem is established under some suitable assumptions.

引用

页数：19

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