| 拟单调广义向量变分不等式 |
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| 引用本文： | 毛秀珍,何诣然.拟单调广义向量变分不等式[J].四川师范大学学报(自然科学版),2007,30(2):134-137. |
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| 作者姓名： | 毛秀珍 何诣然 |
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| 作者单位： | 1. 四川师范大学,教育科学学院,四川,成都,610066
2. 四川师范大学,数学与软件科学学院,四川,成都,610066 |
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| 基金项目： | 四川省青年基金;四川省教育厅自然科学基金 |
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| 摘 要： | 在集值映射T：K→2^L（X,Y）是拟单调和弱上半连续的条件下，考虑了广义向量变分不等式强解存在的强制条件，证明了与广义向量变分不等式非奇异解非空等价的强制条件，同时提出使广义集值向量变分不等式解集非空的极小强制条件．
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| 关 键 词： | 广义向量变分不等式 拟单调算子 弱上半连续 强制条件 |
| 文章编号： | 1001-8395（2007）02-0134-04 |
| 收稿时间： | 2005-04-08 |
| 修稿时间： | 2005年4月8日 |
On Quasimonotone General Vector Variational Inequalities |
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| MAO Xiu-zhen,HE Yi-ran.On Quasimonotone General Vector Variational Inequalities[J].Journal of Sichuan Normal University(Natural Science),2007,30(2):134-137. |
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| Authors: | MAO Xiu-zhen HE Yi-ran |
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| Institution: | 1. College of Education, Sichuan Normal University, Chengdu 610066, Sichuan ; 2. College of Mathematics and Soft Science, Sichuan Normal University, Chengdu 610066, Sichuan |
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| Abstract: | The purpose of this paper is to prove the existence of strong solutions to the general vector variational inequalities for a multivalued operator T, when the set valued mapping is quasimonotone and upper hemicontionuous. A kind of coercivitity condition which is equivalent to the existence of nonempty nontrivial solution set for general vector varitional inequalities is considered. Some coercivity conditions for vector variational inequalities to have nonempty solutions are derived. |
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| Keywords: | General vector variational inequalities Quasimonotone operator Upper sign-continuous Coercivities conditions |
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