Modified Tseng's extragradient methods for variational inequality on Hadamard manifolds | |
Chen, Junfeng1; Liu, Sanyang1; 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 | |
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. |
条目包含的文件 | 条目无相关文件。 |
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