| 关于一类广义集值非线性隐变分不等式的迭代算法 |
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| 引用本文： | 方亚平,陈晓芳,董华.关于一类广义集值非线性隐变分不等式的迭代算法[J].四川大学学报(自然科学版),2001,38(6):799-802. |
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| 作者姓名： | 方亚平 陈晓芳 董华 |
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| 作者单位： | 四川大学数学学院,成都,610064 |
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| 摘 要： | 引入并研究一类广义集值非线性隐变不等式，在Hilbert空间中给出了解的迭代算法以及收敛性分析，所得结果修正并推广了巳有的结论。
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| 关 键 词： | 广义集值非线性隐变分不等式 预解算子 迭代算法 收敛性 Hilbert空间 希尔伯特空间 |
| 文章编号： | 0490-6756(2001)06-0799-04 |
ITERATIVE ALGORITHMS FOR A CLASS OF GENERALIZED SET-VALUED NONLINEAR IMPLICIT VARIATIONAL INEQUALITIES |
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| FANG Ya-ping,CHEN Xiao-fang,DONG Hua.ITERATIVE ALGORITHMS FOR A CLASS OF GENERALIZED SET-VALUED NONLINEAR IMPLICIT VARIATIONAL INEQUALITIES[J].Journal of Sichuan University (Natural Science Edition),2001,38(6):799-802. |
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| Authors: | FANG Ya-ping CHEN Xiao-fang DONG Hua |
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| Abstract: | The authors introduce and study a class of generalized set-valued nonlinear implicit variational inequalities. And construct some iterative algorithms for solving this generalized set-valued nonlinear implicit variational inequalities and give some results of convergence analysis for the iterative sequences generated by the algorithms in Hilbert spaces. The results of this paper correct and extend the corresponding results. |
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| Keywords: | generalized set-valued nonlinear variational inequality resolvent operator iterative algorithm convergence |
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