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Modified Tseng's extragradient methods for variational inequality on Hadamard manifolds
Chen, Junfeng1; Liu, Sanyang1; Chang, Xiaokai1,2
2019-11-30
Source PublicationAPPLICABLE ANALYSIS
ISSN0003-6811
AbstractThis 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.
KeywordVariational inequalities extragradient method Hadamard manifolds pseudomonotone vector field
DOI10.1080/00036811.2019.1695783
Indexed BySCI
Language英语
Funding ProjectNational Natural Science Foundation of China[61877046]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000499306400001
PublisherTAYLOR & FRANCIS LTD
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.lut.edu.cn/handle/2XXMBERH/76620
Collection理学院
Corresponding AuthorChen, Junfeng
Affiliation1.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.
APA Chen, Junfeng,Liu, Sanyang,&Chang, Xiaokai.(2019).Modified Tseng's extragradient methods for variational inequality on Hadamard manifolds.APPLICABLE ANALYSIS.
MLA Chen, Junfeng,et al."Modified Tseng's extragradient methods for variational inequality on Hadamard manifolds".APPLICABLE ANALYSIS (2019).
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