Convergence of self-adaptive Tseng-type algorithms for split variational inequalities and fixed point problems

被引：1

作者：

Yao, Yonghong ^{[1
,2
]}

Shahzad, Naseer ^{[3
]}

Postolache, Mihai ^{[4
,5
]}

Yao, Jen-Chih ^{[6
]}

机构：

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

[2] Kyung Hee Univ, Ctr Adv Informat Technol, Seoul 02447, South Korea

[3] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

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

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

[6] China Med Univ Hosp, China Med Univ, Res Ctr Interneural Comp, Taichung 40402, Taiwan

来源：

CARPATHIAN JOURNAL OF MATHEMATICS | 2024年 / 40卷 / 03期

关键词：

variational inequality; fixed point; split problem; pseudomonotone operator; pseudocontractive operator; REFLECTED GRADIENT METHODS; EXTRAGRADIENT METHOD; ITERATIVE ALGORITHM; PROJECTION METHOD; WEAK-CONVERGENCE;

D O I：

10.37193/CJM.2024.03.14

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we survey iterative algorithms for solving split variational inequalities and fixed point problems in Hilbert spaces. The investigated split problem is involved in two pseudomonotone operators and two pseudocontractive operators. We propose a self-adaptive Tseng-type algorithm for finding a solution of the split problem. Strong convergence of the suggested algorithm is shown under weaker conditions than sequential weak-to-weak continuity imposed on two pseudomonotone operators.

引用

页码：753 / 768

页数：16

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