| 没有单调性和紧性的广义向量拟似变分不等式 |
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| 引用本文： | 彭建文,戎卫东.没有单调性和紧性的广义向量拟似变分不等式[J].数学研究及应用,2005,25(3):414-422. |
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| 作者姓名： | 彭建文 戎卫东 |
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| 作者单位： | 1. 重庆师范大学数学与计算机科学学院,重庆,400047
2. 内蒙古大学数学系,内蒙古,呼和浩特,010021 |
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| 基金项目： | the National Natural Science Foundation of China (10171118)
the Education Committee project Research Foundation of Chongqing (030801)
and the Science Committee project Research Foundation of Chongqing (8409) |
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| 摘 要： | 本文利用极大元定理在非紧拓扑空间设置下证明了没有单调性的广义向量拟似变分不等式解的存在性定理.
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| 关 键 词： | 集值映射 广义向量拟似变分不等式 非紧拓扑空间 L-η-条件 存在性 |
| 文章编号： | 1000-341X(2005)03-0414-09 |
| 收稿时间： | 6/5/2003 12:00:00 AM |
| 修稿时间： | 2003年6月5日 |
Generalized Vector Quasi-Variational-Like Inequalities without Monotonity and Compactness |
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| PENG Jian-wen and RONG Wei-ding.Generalized Vector Quasi-Variational-Like Inequalities without Monotonity and Compactness[J].Journal of Mathematical Research with Applications,2005,25(3):414-422. |
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| Authors: | PENG Jian-wen and RONG Wei-ding |
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| Affiliation: | College of Math. & Compu. Sci., Chongqing Normal University, Chongqing 400047, China;Dept. of Math., Inner Mongolia University, Hohhot 010021, China |
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| Abstract: | In this paper, some existence theorems of a solution for generalized vector quasi-variational-like inequalities without any monotonity conditions in a noncompact topological space setting are proven by the maximal element theorem. |
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| Keywords: | set-valued mapping generalized vector quasi-variational-like inequalities noncompact topological space L-η-condition existence |
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