| 一类积集上的广义向量变分不等式 |
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| 引用本文： | 黄龙光.一类积集上的广义向量变分不等式[J].应用数学学报,2011,34(2). |
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| 作者姓名： | 黄龙光 |
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| 作者单位： | 集美大学理学院,厦门,361021 |
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| 基金项目： | 国家自然科学基金，福建省自然科学基金 |
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| 摘 要： | 研究一类积集上具某种权向量的广义向量变分不等式组及其广义向量变分不等式的有关问题,刻画它们之间解的相互关系.在映射的次连续性和关于某向量广义单调性的条件下,利用集值映射的不动点定理,对所讨论的几种类型的广义向量变分不等式给出解的存在性.
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| 关 键 词： | 广义向量变分不等式 对偶锥 伪单调 不动点 |
A Class of Generalized Vector Variational Inequalities over Product Sets |
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| HUANG LONGGUANG.A Class of Generalized Vector Variational Inequalities over Product Sets[J].Acta Mathematicae Applicatae Sinica,2011,34(2). |
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| Authors: | HUANG LONGGUANG |
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| Institution: | HUANG LONGGUANG (School of Sciences,Jimei University,Xiamen 361021) |
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| Abstract: | A class of generalized vector variational inequalities over product of sets and system of generalized vector variational inequalities are considered.The relationships of solution sets among those variational inequality problems are presented.With the hemicontinuity and several kinds of generalized monotonicities with respect to a vector,several existence results for the solutions of problems mentioned above are established by fixed point theorems of setvalued mappings. |
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| Keywords: | generalized vector variational inequalities dual cone pseudomonotone fixed point |
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