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

被引：0
作者：
Xiaoxi Jia
Lingling Xu
机构：
[1] University of würzburg,Institute of Mathematics
[2] Nanjing Normal University,School of Mathematical Sciences, Jiangsu Key Laboratory for NSLSCS
来源：
Optimization Letters | 2022年 / 16卷
关键词：
Projection-like method; Variational inequality problem; Quasimonotone operator; Convergence;
D O I：
暂无
中图分类号：
学科分类号：
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：16
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