A projection-like method for quasimonotone variational inequalities without Lipschitz continuity

被引：0
|
作者：
Jia, Xiaoxi [1 ]
Xu, Lingling [2 ]
机构：
[1] Univ Wurzburg, Inst Math, D-97074 Wurzburg, Germany
[2] Nanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing 210023, Peoples R China
来源：
OPTIMIZATION LETTERS | 2022年 / 16卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Projection-like method; Variational inequality problem; Quasimonotone operator; Convergence; EXTRAGRADIENT METHOD; ALGORITHM; CONVEX;
D O I：
10.1007/s11590-022-01874-w
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：
For most projection methods, the operator of a variational inequality problem is assumed to be monotone (or pseudomonotone) and Lipschitz continuous. In this paper, we present a projection-like method to solve quasimonotone variational inequality problems without Lipschitz continuity. Under some mild assumptions, we prove that the sequence generated by the proposed algorithm converges to a solution. Numerical experiments are provided to show the effectiveness of the method.
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页码：2387 / 2403
页数：17
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