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
Source Publication	APPLICABLE ANALYSIS
ISSN	0003-6811
Volume	100 Issue:12 Pages:2627-2640
Abstract	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.
Keyword	Variational inequalities extragradient method Hadamard manifolds pseudomonotone vector field
DOI	10.1080/00036811.2019.1695783
Indexed By	SCI
Language	英语
Funding Project	National Natural Science Foundation of China[61877046]
WOS Research Area	Mathematics
WOS Subject	Mathematics, Applied
WOS ID	WOS:000499306400001
Publisher	TAYLOR & FRANCIS LTD
Document Type	期刊论文
Identifier	https://ir.lut.edu.cn/handle/2XXMBERH/76620
Collection	理学院
Corresponding Author	Chen, Junfeng
Affiliation	1.Xidian Univ, Sch Math & Stat, Xian, Shaanxi, Peoples R China 2.Lanzhou Univ Technol, Sch Sci, Lanzhou, Gansu, Peoples R China
Recommended Citation 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.

Files in This Item:
There are no files associated with this item.

Related Services

Usage statistics

Google Scholar

If you have any objections to this item, please fill out the form below and the administrator will contact you as soon as possible.
Content:
Email：	*
Institution:
Verification Code:	Refresh

Any comments and suggestions are welcomed.
Title:	*
Content:
Email：	*
Verification Code:	Refresh

理学院知识库