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
收藏
页码：143 / 158
页数：16
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