MANN-TYPE INERTIAL SUBGRADIENT EXTRAGRADIENT METHODS FOR BILEVEL EQUILIBRIUM PROBLEMS

被引：0

作者：

Ceng, Lu-Chuan ^{[1
]}

Zhu, Li -Jun ^{[2
]}

Yao, Zhangsong ^{[3
]}

机构：

[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

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

[3] Nanjing Xiaozhuang Univ, Sch Informat Engn, Nanjing 211171, Peoples R China

来源：

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2022年 / 84卷 / 04期

基金：

中国国家自然科学基金;

关键词：

inertial subgradient extragradient method; bilevel equilibrium problem; variational inclusions; fixed point; RECKONING FIXED-POINTS; VARIATIONAL-INEQUALITIES; STRONG-CONVERGENCE; ITERATION SCHEME; PROJECTION; ALGORITHM; MAPPINGS;

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 introduce and analyze two Mann-type implicit inertial sub -gradient extragradient algorithms for solving the monotone bilevel equilibrium problem with a general system of variational inclusions and a common fixed-point problem of a finite family of strict pseudocontraction mappings and an asymptotically nonexpansive mapping constraints. Some strong convergence theorems for the proposed algorithms are established under the suitable assumptions.

引用

页码：19 / 32

页数：14

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