一类分裂变分不等式及其收敛算法

黄志霞, 黄建华

数学学报 ›› 2015, Vol. 58 ›› Issue (6) : 1035-1044.

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数学学报 ›› 2015, Vol. 58 ›› Issue (6) : 1035-1044. DOI: 10.12386/A2015sxxb0102
论文

一类分裂变分不等式及其收敛算法

    黄志霞, 黄建华
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A Split Variational Inequality Problem and Its Convergence Algorithm

    Zhi Xia HUANG, Jian Hua HUANG
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摘要

引入一种新的分裂变分不等式问题,构造了两种算法来求解,得到了相应迭代序列的弱收敛性和强收敛性.

Abstract

We introduce a new split variational inequality problem and construct two algorithms for solving the problems. The weak and strong convergence of the sequences defined by two general algorithms is respectively obtained.

关键词

分裂变分不等式问题 / 非扩张 / 弱收敛 / 强收敛

Key words

split variational inequality problem / nonexpansive / weak convergence / strong convergence

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黄志霞, 黄建华. 一类分裂变分不等式及其收敛算法. 数学学报, 2015, 58(6): 1035-1044 https://doi.org/10.12386/A2015sxxb0102
Zhi Xia HUANG, Jian Hua HUANG. A Split Variational Inequality Problem and Its Convergence Algorithm. Acta Mathematica Sinica, Chinese Series, 2015, 58(6): 1035-1044 https://doi.org/10.12386/A2015sxxb0102

参考文献

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