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非线性似变分不等式组的Mann迭代算法

Mann-Iterative Algorithm for a System of Nonlinear Variationat-Like Inequalities
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摘要 引入了对称上强制的定义,提出了非线性似变分不等式组问题的Mann迭代算法,并证明了该算法在一定条件下的收敛性,使笔者提出的算法比文献[1]更具普遍性. In this paper, we introduced the definition of symmetric - cocoercive. We suggested the Mann- iterative algorithm for a system of nonlinear variationat - like inequalities, and proved it' s congervence in certain condition. Then,the algorithm that produced in this paper is more general than reference.
作者 蒲建平
出处 《重庆文理学院学报(自然科学版)》 2006年第2期18-20,23,共4页 Journal of Chongqing University of Arts and Sciences
关键词 对称上强制 η-次可微 Mann迭代算法 非线性似变分不等式 Symmetric - cocoercive η - subdifferential Mann - Iterative Algorithm Nonlinear Variationat - Like Inequality
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参考文献3

  • 1[1]K.R.Kazmi and M.T.Bhat,Itetative algorithm for a system of nonlinear variational-like inclusions,Computers and Mathematics with Application,48(2004)1929-1935.
  • 2[2]Ding X.P.and Luo C.L.,Perturbed proximal point algorithms for general quasi-variational-like inclusion,J.of Computational and Applied Mathematics,113(2000)153-165.
  • 3[3]C.E.Chidume,K.R.Kazmi and H.Zegeye,Iterative approximation of a solution of a general variational-like inclusion in Banach space,International Journal of Mathematics and Mathematical Sciences,22(2004),1159-1167.

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