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一般伪单调变分不等式的改进投影算法 被引量:1

Modified Projection Method for Solving General Pseudomonotone Variational Inequalities
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摘要 本文基于算子的分裂技巧给出了解一般伪单调变分不等式几种新的投影算法 ,包括三步和k步迭代算法 .在算子T是 g 伪单调和 g Lipschitz连续的条件下 。 In this paper,we propose a new projection method for so lving general pseudomonotone variational inequalities based on the splitting tec hnology,including threesteps and ksteps iterative algorithms.The modifie d methods converge for gpseudomonotone and gLipschitz continuous ope rators,which is a much weaker condition than gmonotonicity.
出处 《应用数学》 CSCD 北大核心 2003年第4期18-21,共4页 Mathematica Applicata
关键词 变分不等式 投影算法 三步迭代 走步迭代 g-伪单调 g-Lipschitz连续 算子 收敛性 Variational inequalities Pseudomonotone Projection meth od Convergence
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参考文献9

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  • 2Noor M A. Some recent advances in variational inequalities Part Ⅰ , Basic concepts[J]. New Zealand J Math ,1997,26:53-80.
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二级参考文献3

  • 1Noor,M.Aslam,Some recent advancesin variational inequalities,P art Ⅱ.Other concepts,New Zealand J.Math.,1997,26:229-255.
  • 2Noor,M.Asl am,A new iterative method for monotone mixed variationalinequalities,Math.Compu t.Modelling,1997,26(7):29-34.
  • 3Noor,M.Aslam,Splitting methods for pseudomonotone mixed variational inequalities,J.Math.Anal.Appl.,2000,246:189-216.

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