GENERAL IMPLICIT SUBGRADIENT EXTRAGRADIENT METHODS FOR MONOTONE BILEVEL EQUILIBRIUM PROBLEMS

被引：0
|
作者：
Ceng, Lu-Chuan [1 ]
Zhao, Xiaopeng [2 ]
Zhu, Li-jun [3 ]
机构：
[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
[2] Tiangong Univ, Sch Math Sci, Tianjin 300387, Peoples R China
[3] North Minzu Univ, Key Lab Intelligent Informat & Big Data Proc NingX, Yinchuan 750021, Peoples R China
来源：
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2022年 / 84卷 / 03期
基金：
中国国家自然科学基金;
关键词：
general implicit subgradient extragradient method; monotone bilevel equilibrium problem; convex minimization problem; strictly pseudocontractive mapping; RECKONING FIXED-POINTS; VARIATIONAL-INEQUALITIES; ITERATIVE ALGORITHMS; STRONG-CONVERGENCE; PROJECTION METHODS; SCHEME;
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 the general implicit subgradient extragradient method for solving the monotone bilevel equilibrium problem (MBEP) with a general system of variational inclusions (GSVI) and a common fixed-point problem of finitely many non -expansive mappings and a strictly pseudocontractive mapping (CFPP) constraints. The strong convergence result for the proposed algorithm is established under the monotonicity assumption of the cost bifunctions with Lipschitz-type continuous conditions recently presented by Mastroeni in the auxiliary problem principle, and also applied for finding a common solution of variational inequality, variational inclusion and fixed-point problems.
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页码：3 / 20
页数：18
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