变分不等方程解的逼近程序

Iterative Process for Solvability of Variational Inequation

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摘要本文研究Hilbert空间中投影方法及其对变分不等方程近似解的具误差的迭代序列:xn+1=(1-αn)xn+αnPk(xn-Txn)+un的收敛性.本文结果发展和改进了最近一些人的最新结果. The purpose of this article is to study general convergence for projection method and the approximation solvability of nonlinear variational inequation in Hilbert spaces by the iterative sequence with errors:x_(n+1)=(1-α_n)x_n+α_nP_k(x_n-Tx_n)+u_n. The results presented in this articl extend and improve some recent results.

作者赵良才

机构地区宜宾学院数学系

出处《宜宾学院学报》 2005年第12期10-11,共2页 Journal of Yibin University

关键词非线性变分不等方程投影方法 γ-强单调映象迭代序列 Nonlinear Variational Inequation Projection Method Strongly Monotonic Mapping Iterative Sequence

分类号 O177.91 [理学—基础数学]

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2周轩伟.一类变分不等方程的有限元逼近[J].高校应用数学学报（A辑）,1997(4):449-456.
3舒斯会.L_P空间中非线性Lipschitzian强单调映象的Ishikawa迭代程序[J].南昌职业技术师范学院学报,1996,0(3):70-72.
4谢润,陈春梅.Hilbert空间中广义平衡问题和非扩张映像的强收敛定理[J].宜宾学院学报,2009,9(12):13-17.
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6赵胜芝.含有集压缩映射的非线性变分不等方程的分歧定理[J].辽宁大学学报（自然科学版）,2001,28(2):97-100.
7杨莉,张石生.渐近非扩张映象具误差的迭代序列的收敛性[J].数学的实践与认识,2006,36(12):261-268. 被引量：2
8雷贤才.一般变分包含和不动点问题的黏性迭代算法[J].数学的实践与认识,2011,41(2):222-229.
9赵良才,张石生.Banach空间中渐近非扩张映象具误差的强收敛定理[J].数学学报（中文版）,2008,51(1):99-108. 被引量：7
10胡新启.关于一类变分不等式的迭代算法[J].数学杂志,2000,20(3):265-268. 被引量：1

宜宾学院学报

2005年第12期

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变分不等方程解的逼近程序

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