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

doi:10.1080/00036811.2019.1695783

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	Modified Tseng's extragradient methods for variational inequality on Hadamard manifolds
	Chen, Junfeng 2; Liu, Sanyang 2; Chang, Xiaokai 1,2
刊名	APPLICABLE ANALYSIS
	2019-11-30
卷号	100 期号:12 页码:2627-2640
关键词	Variational inequalities extragradient method Hadamard manifolds pseudomonotone vector field
ISSN号	0003-6811
DOI	10.1080/00036811.2019.1695783
英文摘要	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.
资助项目	National Natural Science Foundation of China[61877046]
WOS研究方向	Mathematics
语种	英语
出版者	TAYLOR & FRANCIS LTD
WOS记录号	WOS:000499306400001
状态	已发表
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/76620]
专题	理学院
通讯作者	Chen, Junfeng
作者单位	1.Lanzhou Univ Technol, Sch Sci, Lanzhou, Gansu, Peoples R China 2.Xidian Univ, Sch Math & Stat, Xian, Shaanxi, 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.