| 拟变分不等式解集的极小本质集及应用 |
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| 引用本文： | 罗群,俞建. 拟变分不等式解集的极小本质集及应用[J]. 高校应用数学学报(A辑), 2004, 19(1): 81-88 |
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| 作者姓名： | 罗群 俞建 |
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| 作者单位： | 1. 广东肇庆学院,数学系,广东,肇庆,526061
2. 贵州省,科技厅,贵州,贵阳,550002 |
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| 基金项目： | 广东省自然科学基金(022001) |
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| 摘 要： | 引入了拟变分不等式解集的极小本质集的概念，并证明了每个拟变分不等式(满足一定条件)的解集至少存在一个极小本质集．作为应用，还证明了大多数(在Baire分类意义下)拟-似变分不等式问题的解集是稳定的；每个拟-似变分不等式(满足一定条件)的解集至少存在一个本质连通区．
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| 关 键 词： | 拟变分不等式 拟-似变分不等式 极小本质集 本质连通区 |
| 文章编号： | 1000-4424(2004)01-0081-08 |
Minimal essential set of the solution set of quasi-variational inequality and its applications |
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| LUO Qun,YU Jian. Minimal essential set of the solution set of quasi-variational inequality and its applications[J]. Applied Mathematics A Journal of Chinese Universities, 2004, 19(1): 81-88 |
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| Authors: | LUO Qun YU Jian |
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| Affiliation: | LUO Qun1,YU Jian2 |
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| Abstract: | The paper introduces the concept of minimal essential set of the solution set of quasi-variational inequality,and it is proved that there exists at least one minimal essential set of the solution set for every quasi-variational inequality (satisfying some conditions).As a consequence,it deduces that the solution sets of most quasi-variational-like inequalities (in the Baire category sense) are stable;and for any quasi-variational-like inequality (satisfying some conditions) there exists at least one essential connected component of the solution set. |
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| Keywords: | quasi-variational inequality quasi-variational-like inequality minimal essential set essential component |
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