| Hilbert空间中一类变分不等式的间隙函数与误差界 |
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| 引用本文： | 周冬梅,何中全.Hilbert空间中一类变分不等式的间隙函数与误差界[J].乐山师范学院学报,2013(12):10-13. |
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| 作者姓名： | 周冬梅 何中全 |
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| 作者单位： | 西华师范大学数学与信息学院,南充637002 |
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| 基金项目： | 四川省省级精品课程泛函分析资助（川教函（2008）359-20） |
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| 摘 要： | 间隙函数对于变分不等式的研究具有重要意义，文章研究了Hilbert空间中一类变分不等式的间隙函数，正则间隙函数和D间隙函数，并运用这三类间隙函数解决了这类变分不等式的误差界。
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| 关 键 词： | Hilbert空间 变分不等式 间隙函数 误差界 |
Variational Inequalities in Hilbert Space |
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| ZHOU Dongmei,HE Zhongquan.Variational Inequalities in Hilbert Space[J].Journal of Leshan Teachers College,2013(12):10-13. |
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| Authors: | ZHOU Dongmei HE Zhongquan |
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| Institution: | (School of Mathematics and Information Science, China West Normal University, Nanchong Sichuan 637002, China) |
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| Abstract: | Gap functions have proved to be ve ry important tools to study variational inequalities, three kind of gap functions are studied in this paper, which are gap function, regularized gap function and D-gap function. And the error bounds are studied by those three gap functions. |
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| Keywords: | Hilbert Space Variational Inequalities Gap Functions Error Bounds |
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