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广义隐互补问题的逐点逼近法 被引量:1

On the Proximal Point Algorithm for Generalized Implicit Complementarity Problem
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摘要 研究了隐互补问题的更一般形式,即广义隐互补问题.将逐点逼近法应用到广义隐互补问题中,研究了在伪单调的条件下算法的收敛性,并证明了算法具有R-线性收敛性. Implicit Complementarity Problem(ICP) can be applied to many fields of natural science.This paper studies generalized implicit complementarity problem.The classic projection operator and fix-point theory is used to solve ICP.The proximal point algorithm is built about generalized implicit complementarity problem and proves its convergence with pseudomonotone function.
出处 《西安文理学院学报(自然科学版)》 2010年第4期26-28,共3页 Journal of Xi’an University(Natural Science Edition)
关键词 广义隐互补问题 逐点逼近法 算法收敛性. Generalized Implicit Complementarity Problem proximal point algorithm linearly convergence
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参考文献6

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共引文献2

同被引文献9

  • 1Clarke F H, Ledyaev Y S, Stern R J and Wolrnski P R. Nonsmooth Analysis and Control Theory. Springer Verlag, New York, NY, 1998.
  • 2Poluquin R A, Rockafellar R T and Thibault L. Local differentiability of distance functions. Transactions of the American Mathematical Society, 2000, 352: 5231-5249.
  • 3Noor M A. Projection methods for nonconvex variational inequalities. Optim Lett, 2009, 3: 411-418.
  • 4Noor M A. Iterative schemes for Nonconvex variational inequalities. Journal of Optimaization Theory and Applications: 2004, 121: 385-395.
  • 5Noor M A. Some iterative methods for nonconvex variational inequalities. Computational Mathematics and Modeling, 2010, 21(1): 97-108.
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  • 7Noor M A. Implicit iterative methods for Nonconvex variational inequalities. J Optim Theory Appl., 2009.
  • 8郑邦贵,殷洪友.一类广义隐互补问题的外梯度法[J].应用数学学报,2011,34(4):734-742. 被引量:3
  • 9郑邦贵,殷洪友.变分不等式的并行算法(英文)[J].工程数学学报,2011,28(5):598-608. 被引量:2

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