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两步投影对变分不等方程组解的迭代逼近
引用本文:赵良才,王雄瑞,张正亮. 两步投影对变分不等方程组解的迭代逼近[J]. 数学研究及应用, 2007, 27(4): 939-943
作者姓名:赵良才  王雄瑞  张正亮
作者单位:宜宾学院数学系,四川,宜宾,644007
摘    要:本文研究Hilbert空间中两步投影方法及其对变分不等方程组解具误差的迭代序列的收敛性.本文结果发展和改进了Verma等人的最新结果.

关 键 词:非线性变分不等方程组  两步投影方法  r-强单调映象  收敛性分析.
文章编号:1000-341X(2007)04-0939-05
收稿时间:2005-06-01
修稿时间:2005-06-01

Approximating Solutions to System of Variational Inequalities by Two-Step Projection Method
ZHAO Liang-cai,WANG Xiong-rui and ZHANG Zheng-liang. Approximating Solutions to System of Variational Inequalities by Two-Step Projection Method[J]. Journal of Mathematical Research with Applications, 2007, 27(4): 939-943
Authors:ZHAO Liang-cai  WANG Xiong-rui  ZHANG Zheng-liang
Affiliation:Department of Mathematics, Yibin University, Sichuan 644007, China;Department of Mathematics, Yibin University, Sichuan 644007, China;Department of Mathematics, Yibin University, Sichuan 644007, China
Abstract:This paper deals with general convergence for two-step projection methods and the ap- proximation solvability of system of nonlinear variational inequalities in Hilbert spaces by the iterative sequences with errors.The results presented extend and improve recent results of Verma etc.
Keywords:system of nonlinear variational inequalities  two-step projection methods  r-strongly monotonic mapping  convergence analysis
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