ON INERTIAL SUBGRADIENT EXTRAGRADIENT RULE FOR MONOTONE BILEVEL EQUILIBRIUM PROBLEMS

被引：11
作者：
Ceng, Lu-chuan [1 ]
Petrusel, A. D. R. I. A. N. [2 ]
Qin, X. [3 ]
Yao, J. C. [4 ,5 ]
机构：
[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
[2] Babes Bolyai Univ, Dept Math, Cluj Napoca, Romania
[3] Kyung Hee Univ, Dept ESP, Seoul, South Korea
[4] China Med Univ Hosp, China Med Univ, Res Ctr Interneural Comp, Taichung 40447, Taiwan
[5] Natl Sun Yat sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan
来源：
FIXED POINT THEORY | 2023年 / 24卷 / 01期
关键词：
Inertial subgradient extragradient rule; monotone bilevel equilibrium problem; general system of variational inclusions; asymptotically nonexpansive mapping; countable nonexpansive mappings; VARIATIONAL INEQUALITY CONSTRAINTS; STRONG-CONVERGENCE; SYSTEMS;
D O I：
10.24193/fpt-ro.2023.1.05
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In a real Hilbert space, let the GSVI and CFPP represent a general system of varia-tional inclusions and a common fixed point problem of countable nonexpansive mappings and an asymptotically nonexpansive mapping, respectively. In this paper, via a new inertial subgradient ex-tragradient rule we introduce and analyze two iterative algorithms for solving the monotone bilevel equilibrium problem (MBEP) with the GSVI and CFPP as constraints. Some strong convergence theorems for the proposed algorithms are established under some mild assumptions. Our results improve and extend some corresponding results in the earlier and very recent literature.
引用
收藏
页码：101 / 126
页数：26
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