| 具有集值H-半-伪单调映射的广义向量变分不等式解的存在性 |
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| 引用本文： | 肖光强,余显志.具有集值H-半-伪单调映射的广义向量变分不等式解的存在性[J].后勤工程学院学报,2011,27(1):86-91. |
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| 作者姓名： | 肖光强 余显志 |
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| 作者单位： | 1. 重庆大学数学与统计学院,重庆,400030;后勤工程学院基础部,重庆,401311
2. 后勤工程学院基础部,重庆,401311 |
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| 摘 要： | 首先推广向量集值半一单调映射到向量集值H-半-伪单调映射，然后利用Kakutani—Fan—Glicksberg不动点定理，研究了具有集值H-半-伪单调映射的广义向量t变分不等式问题，在自反Banach空间中得到了两个存在性结果。
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| 关 键 词： | 广义向量变分不等式 集值H-半-伪单调映射 Kakutani—Fan—Glicksberg不动点定理 |
Existence of Solution for Generalized Vector Variational Inequalities with a Set-valued H-semi-pseudomonotone Mapping |
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| XIAO Guang-qiang,YU Xian-zhi.Existence of Solution for Generalized Vector Variational Inequalities with a Set-valued H-semi-pseudomonotone Mapping[J].Journal of Logistical Engineering University,2011,27(1):86-91. |
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| Authors: | XIAO Guang-qiang YU Xian-zhi |
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| Institution: | XIAO Guang-qiang1,2,YU Xian-zhi2(1.College of Mathematics and Statistics,Chongqing University,Chongqing 400030,China,2.Dept.of Foundation Studies,LEU,Chongqing 401311,China) |
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| Abstract: | The concept of set-valued semi-monotonicity to that of set-valued H-semi-pseudomonotone mapping is generalized firstly,then a generalized vector variational inequality problem concerning the vector set-valued H-semi-pseudomonotone mapping is studied by using the Kakutani-Fan-Glicksberg fixed point theorem,and two results of existence are obtained finally in reflexive Banach. |
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| Keywords: | generalized vector variational inequality set-valued H-semi-pseudomonotone mapping Kakutani-Fan-Glicksberg fixed point theorem |
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