STRONG CONVERGENCE OF SELF-ADAPTIVE TSENG'S ALGORITHMS FOR SOLVING SPLIT VARIATIONAL INEQUALITIES

被引：0

作者：

Yao, Yonghong ^{[1
,2
,3
]}

She, Yaoyao ^{[1
]}

Shahzad, Naseer ^{[4
]}

机构：

[1] Tiangong Univ, Sch Math Sci, Tianjin 300387, Peoples R China

[2] North Minzu Univ, Key Lab Intelligent Informat & Big Data Proc Ning, Yinchuan 750021, Ningxia, Peoples R China

[3] North Minzu Univ, Hlth Big Data Res Inst, Yinchuan 750021, Ningxia, Peoples R China

[4] King Abdulaziz Univ, Dept Math, PoB 80203, Jeddah 21589, Saudi Arabia

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2022年 / 23卷 / 01期

关键词：

Split variational inequality; inverse strongly phi-monotone operator; pseu-domonotone operator; projection; FIXED-POINT PROBLEM; 2 INFINITE FAMILIES; EXTRAGRADIENT METHOD; PROJECTION METHOD; DEMIMETRIC MAPPINGS; FEASIBILITY PROBLEM; NONLINEAR MAPPINGS; WEAK-CONVERGENCE; THEOREMS; SETS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate iterative methods for solving the split variational inequality problem in Hilbert spaces. Especially, we devote to con -sider the split variational inequality involved in an eta-inverse strongly phi-monotone operator and a pseudomonotone operator. We suggest an iterative algorithm by using self-adaptive technique and Tseng's method. Strong convergence analysis of the proposed algorithm is obtained under a weaker condition than sequential weak continuity imposed on pseudomonotone operators.

引用

页码：143 / 158

页数：16

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