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Banach空间中广义混合变分不等式的新逼近算法

A New Approximation Algorithm for the Generalized Mixed Variational Inequalities in Banach Space
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摘要 文章利用Banach空间中广义f-投影算子的一些性质,在适当条件下对Banach空间中一类广义混合变分不等式给出了新的迭代算法,并证明了迭代序列收敛到广义混合变分不等式的解。 In this paper, some properties of the generalized projection operator in Banach Space are employed to investigate new iterative algorithm for the generalized mixed variational inequalities. Under certain assumption, the strong convergence of the algorithm to the solution of the generalized mixed variational inequalities is proved.
出处 《乐山师范学院学报》 2015年第8期1-4,共4页 Journal of Leshan Normal University
基金 国家自然科学基金资助项目(11371015)
关键词 广义f-投影算子 迭代算法 收敛性 Generalized F-Projection Operator Iterative Algorithm Convergence
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参考文献14

  • 1Ys. Alber. Generalized projection operators in Banach space properties and applications [C]. Proceedings of the Israel Seminar ArieL Israel Funct. Differ. Equ, 1993,1: 1-21.
  • 2Ya. Alber. Metric and generalized projection operators in Banach spaces: properties and applications[C]//A. Kartsatos (Ed.). Theory and appli- cations of nonlinear operators of accretive and monotone type. New York : Dekker, 1996, 178: 15-50.
  • 3IL Fan, A generalization of Tychonoff's fixed point theorem[J]. Math. Ann,1961,142 (3): 305-310.
  • 4F. Giannessi, A. Mangeri. Variational inequalities and Network Equilibrium Problems[M]. New York: Plenum Publishing Corporation, 1995.
  • 5Ya Alber. Proximal projection method for variational inequalities and Cesare averaged approximations Comput Math Appl,2002, 43 (8): 1107- 1124.
  • 6Ya. AIber. On average convergence of the iterative projection methods[J]. Taiwan Residents J. Math, 2002, 6(3) : 323-341.
  • 7Ya. Alber, A. N.Insem. Extension of subgradient techniques for nonsmooth optimization in Banach spaces[J]. Set-Valued Anal, 2001, 9(4):315- 335.
  • 8J. Li. The generalized projection operator on reflexive Banach spaces and its applications[J]. J. Math. AnaL Appl, 2005,306( 1 ): 55-71.
  • 9K. Q. Wu and N. J.Huang. The generalized f-projeeton operator with an application[J]. Bull. Aust. Math. Soc, 2006, 73(2): 307-317.
  • 10K. Q. Wu and N. J. Huang. Properties of the generalized f-projecton operator and it's app -licafions in Banach space[J]. Comput. Math. Appl, 2007, 54(3): 399-406.

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