| 向量变分不等式的严格可行性问题 |
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| 引用本文： | 王敏,何诣然.向量变分不等式的严格可行性问题[J].应用数学学报,2007,30(1):120-128. |
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| 作者姓名： | 王敏 何诣然 |
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| 作者单位： | 1. 绵阳师范学院数学与信息科学系,绵阳,621000
2. 四川师范大学数学与软件科学学院,成都,610068 |
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| 基金项目： | 四川省青年科技基金;四川省重点学科建设项目 |
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| 摘 要： | 本篇文章首先定义了向量变分不等式的严格可行点概念,其次在假设了映射是强(D)-伪单调的情况下,证明了向量变分不等式解集非空有界与其严格可行点存在的等价性问题,推广了在数量变分不等式上得到的相应结果．
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| 关 键 词： | 向量变分不等式 强(D)-伪单调映射 稳定强(D)-伪单调映射 V-半连续映射 |
| 修稿时间： | 2005-06-032006-11-14 |
Strict Feasibility of Vector Variational Inequality Problems |
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| WANG MIN,HE YIRAN.Strict Feasibility of Vector Variational Inequality Problems[J].Acta Mathematicae Applicatae Sinica,2007,30(1):120-128. |
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| Authors: | WANG MIN HE YIRAN |
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| Institution: | Department of Mathematics and Information Science, Mianyang Teachers College, Mianyang 621000;College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610068 |
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| Abstract: | The existence of strictly feasible points is shown to be equivalent to the bounded-ness of solution set of vector variational inequality problems with strong (D)-pseudomonotone mappings. This generalizes the result in the literature established for generalized variational inequality problems. |
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| Keywords: | vector variational inequalities strictly feasible points strong (D)-pseudomonotone mapping stably strong (D)-pseudomonotone mapping V-hemicontinuous mapping |
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