Modified Tseng's extragradient methods for variational inequality on Hadamard manifolds

doi:10.1080/00036811.2019.1695783

IR > 理学院

	Modified Tseng's extragradient methods for variational inequality on Hadamard manifolds
	Chen, Junfeng 1; Liu, Sanyang 1; Chang, Xiaokai1,2
	2019-11-30
发表期刊	APPLICABLE ANALYSIS
ISSN	0003-6811
卷号	100 期号:12 页码:2627-2640
摘要	This paper is devoted to two efficient algorithms for solving variational inequality on Hadamard manifolds. The algorithms are inspired by Tseng's extragradient methods with new step sizes, established without the knowledge of the Lipschitz constant of the mapping. Under a pseudomonotone assumption on the underlying vector field, we prove that the sequence generated by the methods converges to a solution of variational inequality, whenever it exists.
关键词	Variational inequalities extragradient method Hadamard manifolds pseudomonotone vector field
DOI	10.1080/00036811.2019.1695783
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[61877046]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000499306400001
出版者	TAYLOR & FRANCIS LTD
引用统计	被引频次：18[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/76620
专题	理学院
通讯作者	Chen, Junfeng
作者单位	1.Xidian Univ, Sch Math & Stat, Xian, Shaanxi, Peoples R China 2.Lanzhou Univ Technol, Sch Sci, Lanzhou, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Chen, Junfeng,Liu, Sanyang,Chang, Xiaokai. Modified Tseng's extragradient methods for variational inequality on Hadamard manifolds[J]. APPLICABLE ANALYSIS,2019,100(12):2627-2640.
APA	Chen, Junfeng,Liu, Sanyang,&Chang, Xiaokai.(2019).Modified Tseng's extragradient methods for variational inequality on Hadamard manifolds.APPLICABLE ANALYSIS,100(12),2627-2640.
MLA	Chen, Junfeng,et al."Modified Tseng's extragradient methods for variational inequality on Hadamard manifolds".APPLICABLE ANALYSIS 100.12(2019):2627-2640.