Banach空间中关于广义变分不等式的杂交投影算法

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Banach空间中关于广义变分不等式的杂交投影算法刘英¹, 何震¹, Noor Muhammad Aslam²1. 河北大学数学与信息科学学院, 保定 071002;
2. 信息技术学院数学系, 伊斯兰堡, 巴基斯坦 On Hybrid Projection Methods for General Variational Inequalities in Banach Spaces LIU Ying¹, HE Zhen¹, Noor Muhammad Aslam²1. College of Mathematics and Information Science, Hebei University, Baoding 071002, China;
2. Mathematics Department, COMSATS Insitute of Information Technology, Park Road, Islamabad, Pakistan

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摘要本文利用杂交广义投影算法引进了一迭代序列来逼近Banach空间中一类广义变分不等式的解. 因为这类广义变分不等式包括古典变分不等式和相补问题作为特殊例子，因此本文统一了以前一些相关结果.

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收稿日期: 2011-04-07

PACS:

O177.91

基金资助:国家自然科学基金（11401157）资助项目.

引用本文:

刘英, 何震, Noor Muhammad Aslam. Banach空间中关于广义变分不等式的杂交投影算法[J]. 应用数学学报, 2016, 39(4): 495-504. LIU Ying, HE Zhen, Noor Muhammad Aslam. On Hybrid Projection Methods for General Variational Inequalities in Banach Spaces. Acta Mathematicae Applicatae Sinica, 2016, 39(4): 495-504.

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http://123.57.41.99/jweb_yysxxb/CN/或 http://123.57.41.99/jweb_yysxxb/CN/Y2016/V39/I4/495

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