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求解单调变分不等式的两类迭代算法
引用本文:荣祯.求解单调变分不等式的两类迭代算法[J].应用泛函分析学报,2012,14(1):109-112.
作者姓名:荣祯
作者单位:内蒙古大学鄂尔多斯学院公共教学部,鄂尔多斯,017000
摘    要:给出了求解单调变分不等式的两类迭代算法.通过解强单调变分不等式子问题,产生两个迭代点列,都弱收敛到变分不等式的解.最后,给出了这两类新算法的收敛性分析.

关 键 词:单调变分不等式  强单调变分不等式  迭代算法

Two Classes of Iterative Algorithms for Solving Monotone Variational Inequality Problems
RONG Zhen.Two Classes of Iterative Algorithms for Solving Monotone Variational Inequality Problems[J].Acta Analysis Functionalis Applicata,2012,14(1):109-112.
Authors:RONG Zhen
Institution:RONG Zhen College Department of Public Education,Ordos College of Inner Mongolia University,Ordos 017000,China
Abstract:Two classes of iterative algorithms for solving monotone variational inequality problems were proposed.Via solving strongly monotone variational inequality problem,the algorithms generated two iterative sequences which weakly converged to a solution of the variational inequality problems.In the end,the convergence of these two new classes of iterative algorithms was analyzed.
Keywords:monotone variational inequality  strongly monotone variational inequality  iterative algorithm
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