CONVERGENCE OF SELF-ADAPTIVE PROJECTION METHODS WITH LINEAR SEARCH FOR PSEUDOMONOTONE VARIATIONAL INEQUALITIES AND FIXED POINT PROBLEMS

被引：0

作者：

Zhu, Li-Jun ^{[1
,2
]}

Postolache, Mihai ^{[3
,4
,5
,6
]}

She, Yaoyao ^{[7
]}

机构：

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

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

[3] China Med Univ, Ctr Gen Educ, Taichung 40402, Taiwan

[4] Asia Univ, Dept Interior Design, Taichung, Taiwan

[5] Gh Mihoc C Iacob Inst Math Stat & Appl Math, Romanian Acad, Bucharest 050711, Romania

[6] Univ Politehn Bucuresti, Dept Math & Informat, Bucharest 060042, Romania

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

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2021年 / 22卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Variational inequality; fixed point; pseudomonotone operators; pseudocontractive operators; projection; linear search; GRADIENT METHODS; EXTRAGRADIENT METHOD; ITERATIVE ALGORITHM; THEOREMS; SYSTEMS; WEAK;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The pseudomonotone variational inequalities and fixed point problems are investigated in Hilbert spaces. We present a self-adaptive projection method with linear search for finding a common solution of the pseudomonotone variational inequalities and fixed points of pseudocontractive operators. We show the strong convergence of the suggested algorithm. Some related corollaries are also given.

引用

页码：1541 / 1554

页数：14

共 38 条

[1] TWO INERTIAL EXTRAGRADIENT VISCOSITY ALGORITHMS FOR SOLVING VARIATIONAL INEQUALITY AND FIXED POINT PROBLEMS [J].