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  • 标题:New Tseng’s extragradient methods for pseudomonotone variational inequality problems in Hadamard manifolds
  • 本地全文:下载
  • 作者:Konrawut Khammahawong ; Poom Kumam ; Parin Chaipunya
  • 期刊名称:Fixed Point Theory and Applications
  • 印刷版ISSN:1687-1820
  • 电子版ISSN:1687-1812
  • 出版年度:2021
  • 卷号:2021
  • 期号:1
  • 页码:1
  • DOI:10.1186/s13663-021-00689-1
  • 出版社:Hindawi Publishing Corporation
  • 摘要:We propose Tseng’s extragradient methods for finding a solution of variational inequality problems associated with pseudomonotone vector fields in Hadamard manifolds. Under standard assumptions such as pseudomonotone and Lipschitz continuous vector fields, we prove that any sequence generated by the proposed methods converges to a solution of variational inequality problem, whenever it exits. Moreover, we give some numerical experiments to illustrate our main results.
  • 关键词:47J20 ; 51H25 ; 65C10 ; 65C15 ; 90C33
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