| 两类变分不等式问题解集的性质 |
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| 引用本文： | 陈政敏,王娟.两类变分不等式问题解集的性质[J].渝西学院学报(自然科学版),2011(2):14-16. |
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| 作者姓名： | 陈政敏 王娟 |
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| 作者单位： | 重庆师范大学数学学院; |
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| 基金项目： | 国家自然科学基金资助项目(11001289); 重庆市教委科学技术研究资助项目(KJ100608) |
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| 摘 要： | 利用狄尼下导数,构造了一类关于Stampacchia变分不等式的间隙函数,并在此基础上对Stampacchia变分不等式和Minty变分不等式问题的解集的性质进行讨论,给出了一些重要的结论.
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| 关 键 词： | 狄尼下导数 变分不等式问题 间隙函数 方向连续 |
The nature of solution sets of two class of variational inequality problems |
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| Authors: | CHEN Zheng-min WANG Juan |
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| Institution: | CHEN Zheng-min,WANG Juan (Department of Mathematics,Chongqing Normal University,Shapingba Chongqing 400047,China) |
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| Abstract: | In this paper,a class of gap functions of the Stampacchia variational inequality problem was constructed by using the lower Dini derivative,and the nature of characterization of both the solution sets of Stampacchia variational inequality problem and Minty variational inequality problem were discussed,and some important conclusions were obtained. |
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| Keywords: | the lower Dini derivative variational inequality problem gap function direction continuous |
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