| 改进的超梯度算法在无穷维Hilbert空间强收敛 |
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| 引用本文： | 晏萍,何诣然. 改进的超梯度算法在无穷维Hilbert空间强收敛[J]. 四川师范大学学报(自然科学版), 2011, 34(5): 605-609. DOI: 10.3969/j.issn.1001-8395.2011.05.002 |
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| 作者姓名： | 晏萍 何诣然 |
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| 作者单位： | 四川师范大学数学与软件科学学院,四川成都,610066 |
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| 基金项目： | 国家自然科学基金(10701059)资助项目 |
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| 摘 要： | 许多算法被提出用来解决变分不等式问题,其中最简单的是G.M.Korpelevich(Matecon,1976,12:747-756.)超梯度算法.此算法被许多学者所改进.其中文献(Y.J.Wang,N.H.Xiu,J.Z.Zhang.J Optim Theory Appl,2003,119:167-168.)改进的超梯...
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| 关 键 词： | 超梯度算法 Hilbert空间:弱收敛 强收敛:伪单调 |
Strong Convergence of Modified Extragradient Method in Infinite Hilbert Space |
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| YAN Ping,HE Yi-ran. Strong Convergence of Modified Extragradient Method in Infinite Hilbert Space[J]. Journal of Sichuan Normal University(Natural Science), 2011, 34(5): 605-609. DOI: 10.3969/j.issn.1001-8395.2011.05.002 |
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| Authors: | YAN Ping HE Yi-ran |
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| Affiliation: | YAN Ping,HE Yi-ran(College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,Sichuan) |
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| Abstract: | Many methods have been proposed to solve VI(F,X).The simplest is the extragradient method which was proposed by G.M.Korpelevich(Matecon,1976,12:747-756.).This method was modified by many scholars.Among all the algorithms,the method of paper(Y.J.Wang,N.H.Xiu,J.Z.Zhang.J Optim Theory Appl,2003,119:167-168.) can use the convergence property of the generated sequences to verify the existence of solution without assuming the existence of the solution.This paper extends the midified extragradient method which was... |
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| Keywords: | extragradient method Hilbert space weak convergence strong convergence pseudomonotone |
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