INEXACT SIMULTANEOUS PROJECTION METHOD FOR SOLVING BILEVEL EQUILIBRIUM PROBLEMS

被引：1
作者：
Anh, Pham Ngoc [1 ]
Van Hong, Nguyen [2 ]
Gibali, Aviv [3 ]
机构：
[1] Inst Technol, Dept Sci Fundamentals Posts & Telecommun, Hanoi, Vietnam
[2] Haiphong Univ, Dept Math, Haiphong, Vietnam
[3] ORT Braude Coll Engn, Dept Math, Karmiel, Israel
来源：
FIXED POINT THEORY | 2023年 / 24卷 / 02期
关键词：
Equilibrium problem; fixed point problem; demicontractive mapping; extragradient; FIXED-POINT SET; VARIATIONAL-INEQUALITIES; EXTRAGRADIENT ALGORITHM; DESCENT METHOD; OPERATORS;
D O I：
10.24193/fpt-ro.2023.2.03
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work we consider a bilevel equilibrium problem defined over the intersection of the fixed points set of demicontractive mappings. An inexact simultaneous projection method for solving the problem is introduced and its strong convergence is established under mild and standard conditions. Primary numerical illustrations in finite and infinite dimensional spaces with comparisons to related results in the literature, demonstrate the algorithm performances and emphasize its computational and theoretical advantages.
引用
收藏
页码：487 / 506
页数：20
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