| Banach空间中的广义向量F-隐补问题 |
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| 引用本文： | 冯世强,高大鹏.Banach空间中的广义向量F-隐补问题[J].内蒙古师范大学学报(自然科学版),2009,38(1). |
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| 作者姓名： | 冯世强 高大鹏 |
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| 作者单位： | 西华师范大学,数学与信息学院,四川,南充,637002
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| 基金项目： | 四川省教育厅重点基金 |
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| 摘 要： | 在Banach空间中介绍和研究了一类新的广义向量F-隐补问题和两类新的广义向量F-隐变分不等式问题,在无单调性的适当假设下,利用Fan-KKM定理得到二者之间的等价关系和新解的存在性定理.
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| 关 键 词： | 广义向量F-隐补问题 广义向量F-隐变分不等式 KKM映像 锥 等价性 存在性 |
Generalized Vector F-implicit Complementarity Problems in Banach Spaces |
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| FENG Shi-qiang,GAO Da-peng.Generalized Vector F-implicit Complementarity Problems in Banach Spaces[J].Journal of Inner Mongolia Normal University(Natural Science Edition),2009,38(1). |
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| Authors: | FENG Shi-qiang GAO Da-peng |
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| Institution: | School of Mathematics and Information;China West Normal University;Nanchong 637002;Sichuan;China |
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| Abstract: | In this paper,a class of generalized vector F-implicit complementarity problem and two classes of generalized vector F-implicit variational inequalities are introduced and studied in Banach spaces.The relation between them is obtained and some new existence theorems of solutions for them are presented under some suitable assumptions without monotonicity by using the Fan-KKM theorem. |
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| Keywords: | generalized vector F-implicit complementarity problem generalized vector F-implicit variational inequality KKM-mapping cone equivalence existence |
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