| 多值强向量F-相补及可行集上的最小元问题 |
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| 引用本文： | 信仁年.多值强向量F-相补及可行集上的最小元问题[J].温州大学学报(自然科学版),2010,31(5). |
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| 作者姓名： | 信仁年 |
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| 作者单位： | 西华师范大学数学信息学院,四川南充,637002;玉门油田外国语高级中学,甘肃酒泉,735019 |
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| 摘 要： | 对几类多值强向量F-相补问题和相应的变分不等式问题进行研究,证明了在Banach空间中,当满足一定条件时,这两类问题是等价的;介绍了上方有界的概念,证明了在一定条件下,可行集上的最小元是存在的.
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| 关 键 词： | 多值强向量 变分不等式 上方有界 可行集 最小元 |
Multi-valued Strong Vector F-Complementarity Problems and Least Element Problems of Feasible Set |
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| XIN Rennian.Multi-valued Strong Vector F-Complementarity Problems and Least Element Problems of Feasible Set[J].Journal of Wenzhou University Natural Science,2010,31(5). |
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| Authors: | XIN Rennian |
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| Institution: | XIN Rennian~(1,2) (1.College of Mathematics and Information,China West Normal University,Nanchong,China 637002,2.Yumen Oilfield Foreign Language High School,Jiuquan,China 735019) |
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| Abstract: | Some kinds of multi-valued vector F-complementarity problems and corresponding variational inequality problems were generalized and studied in this paper.It was proved that these problems are equivalent under certain assumptions in Banach space.After the definition of bounded from above was introduced,the existence of the least element of feasible set was proved under certain assumptions. |
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| Keywords: | Multi-valued Strong Vector Variational Inequality Bounded from Above Feasible Set Least Element |
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