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求解变分不等式的一种双投影算法 被引量:2

A Double Projection Method for Solving Variational Inequalities
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摘要 该文在有限维欧式空间中提出一种新的双投影算法,其给定的超平面与以往的不同,在给予适当的条件假设下,建立算法的收敛性并作出收敛率分析.最后给出数值实验结果. In this paper,we introduce a new method for solving variational inequalities.The method uses a new hyperplane which differs from known ones.Under some mild conditions,we prove that the sequence produced by our method globally converges to a solution.Further-more,the convergence rate of the iteration sequence is established.Numerical experiments are reported in section 5.
作者 胡雨贤 Hu Yuxian(Department of Mathematics,College of Science,Sichuan Normal University,Chengdu 610066)
出处 《数学物理学报(A辑)》 CSCD 北大核心 2019年第6期1492-1498,共7页 Acta Mathematica Scientia
基金 国家自然科学基金(11871359)~~
关键词 变分不等式 双投影算法 超平面 收敛 Variational inequalities Double projection method Hyperplane Convergence
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  • 1Karamardian S. Complementarity problems over cones with monotone and pseudomonotone maps[J]. J. Optim. Theory Appl., 1976,18: 445-454. 被引量:1
  • 2Xiu N H, Zhang J Z. Some recent advances in projection-type methods for variational inequalities[J]. J. Comput. Appl. Math., 2003, 152: 559-585. 被引量:1
  • 3Korpelevich G M. The extragradient method for finding saddle points and other problems[J]. Mate- con,1976, 17: 747-756. 被引量:1
  • 4Yu Z, Shao H, Wang G D. Modified self-adaptive projection method for solving pseu-domonotone variational inequalities[J]. Appl. Math. Comput., 2011, 217: 8052-8060. 被引量:1
  • 5Yan X H, Han D R, Sun W Y. A self-adaptive projection method with improved step size for solving variational inequMities[J]. Comput. Math. Appl., 2008, 55: 819-832. 被引量:1
  • 6Bnouhachem A, Xu M H, Fu X L, et al. Modified extragradient methods for solving variational inequalities[J]. Comput. Math. Appl., 2009, 57: 230-239. 被引量:1
  • 7Wang Y J, Xiu N H, Wang C Y. A new version of extragradient method for variational inequality problems[J]. Comput. Math. Appl., 2001, 42: 969-979. 被引量:1
  • 8Solodov M V, Svaiter B F. A new projection method for variational inequality problems[J]. J. Control Optim., 1999, 37: 765-776. 被引量:1
  • 9Wang Y J, Xiu N H, Wang C Y. Unified framework of extragradient-type methods for pseudomono- tone variational inequalities[J]. J. Optim. Appl., 2001, 111: 641-656. 被引量:1
  • 10He Y R. A new double projection algorithm for variational inequalities[J]. J. Comput. Appl. Math., 2006, 185: 166-173. 被引量:1

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