Projection and Contraction Methods for Solving Bilevel Pseudomonotone Variational Inequalities

被引：4
作者：
Yang, Jun [1 ]
机构：
[1] Xianyang Normal Univ, Sch Math & Stat, Xianyang 712000, Shaanxi, Peoples R China
来源：
ACTA APPLICANDAE MATHEMATICAE | 2022年 / 177卷 / 01期
关键词：
Bilevel variational inequality; Projection; Gradient method; Pseudomonotone mapping; Convex set; SUBGRADIENT EXTRAGRADIENT METHOD; ALGORITHMS; CONVERGENCE; POINTS;
D O I：
10.1007/s10440-022-00468-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to investigate two new projection and contraction algorithms for solving bilevel pseudomonotone variational inequalities. The strong convergence of algorithms is established without the knowledge of the Lipschitz constants and the strong monotonicity coefficient. Finally, we consider several preliminary numerical experiments to show the advantages of the proposed algorithms.
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页数：16
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