A relaxed projection method for solving bilevel variational inequality problems

被引：4
作者：
Anh, Pham Ngoc [1 ]
Khanh, Phan Quoc [2 ]
Truong, Nguyen Duc [3 ]
机构：
[1] Posts & Telecommun Inst Technol, Lab Appl Math & Comp, Hanoi, Vietnam
[2] Ton Duc Thang Univ, Fac Math & Stat, Optimizat Res Grp, Ho Chi Minh City, Vietnam
[3] Hai Phong Univ, Dept Math, Hai Phong, Vietnam
来源：
OPTIMIZATION | 2024年
关键词：
Bilevel variational inequality problem; solution mapping; quasi-nonexpansive; projection method; quasimonotone; 65; K10; 90; C25; 49; J35; 47; J25; J20; EXTRAGRADIENT METHOD; STRONG-CONVERGENCE; ALGORITHM; STEP;
D O I：
10.1080/02331934.2024.2354456
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
In this work, we present a new relaxed projection approach to solve bilevel variational inequality problems in a real Hilbert space. First, we introduce a solution mapping of the variational inequality problem and analyze its strongly quasi-nonexpansiveness. Next, by using this mapping we present a relaxed projection algorithm for solving bilevel variational inequality problems. Under pseudomonotonicity assumptions on the cost mappings, strong convergence of iteration sequences is proved. Finally, we give some numerical results to illustrate the proposed algorithm.
引用
收藏
页数：26
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