| 广义向量F-互补问题 |
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| 引用本文： | 李克勤,何中全,何童丽. 广义向量F-互补问题[J]. 宜宾学院学报, 2007, 7(6): 10-11 |
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| 作者姓名： | 李克勤 何中全 何童丽 |
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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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| 摘 要： | 本文研究了一类广义向量F-互补问题(GVF-CP),并给出了它与F-广义似向量变分不等式(GVF-VLIP)之间的关系.且在不具有伪单调的情况下证明了(GVF-CP)解的存在性,推广了已有的一些结果.
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| 关 键 词： | 广义向量F-互补问题 KKM映射 F-广义似向量变分不等式 等价性 |
| 文章编号： | 1671-5365（2007）06-0010-02 |
| 修稿时间： | 2007-03-27 |
Generalized Vector F -Complementary Problem |
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| LI Ke-qin,HE Zhong-quan,HE Tong-li. Generalized Vector F -Complementary Problem[J]. Journal of Yibin University, 2007, 7(6): 10-11 |
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| Authors: | LI Ke-qin HE Zhong-quan HE Tong-li |
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| Affiliation: | School of Mathematics and Information, China West Normal University, Nanchong 637002, China |
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| Abstract: | In this article,a new kind of generalized vector F-complementary problem and vector F-generalized variation-like inequality problem are introduced and studied,and the relation between them is also studied.We also derive some new existence theorems of solutions to vector F-complementary problems by using F-mapping theorem under some suitable assumptions without monotonicity. |
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| Keywords: | Generalized Vector F-Complementary Problems KKM-Mapping Vector F-Generalized Variational-Like Inequality Equivalence |
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