| 一类广义混合向量拟平衡问题解的存在性及稳定性 |
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| 引用本文： | 谢静,何中全.一类广义混合向量拟平衡问题解的存在性及稳定性[J].四川理工学院学报(自然科学版),2008,21(6). |
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| 作者姓名： | 谢静 何中全 |
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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： | 四川省高等教育教学改革工程人才培养质量和教学改革项目资助
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| 摘 要： | 文章在局部凸的Hausdorff拓扑向量空间中,利用非线性标量函数结合Kakubani-Fan-Glicksberg不动点定理,给出了广义混合向量拟平衡问题解的存在性定理。然后在Banach空间中给出了解的稳定性定理。
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| 关 键 词： | 广义向量混合拟平衡问题 非线性标量函数 Kakubani-Fan-Glicksberg不动点定理 上半连续 下半连续 |
Existence and Stability of Solutions for Generalized Mixed Vector Quasi-Equilibriu Problems |
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| XIE Jing,HE Zhong-quan.Existence and Stability of Solutions for Generalized Mixed Vector Quasi-Equilibriu Problems[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2008,21(6). |
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| Authors: | XIE Jing HE Zhong-quan |
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| Institution: | XIE Jing,HE Zhong-quan(College of Mathematics , Information,China West Normal University,Nanchong 637002,China) |
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| Abstract: | This paper first study the existence of solutions for generalized mixed vector quasi-equilibrium problems in locally convex Hausdorff topological vector space by using nonlinear scalariztion function and Kakubani-Fan-Glicksberg fixed pointed theorem.Then,this paper study the stability of solutions for generalized mixed vector quasi-equilibrium problems in Banach space. |
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| Keywords: | generalized mixed vector quasi-equilibrium problems nonlinear scalariztion function Kakubani-Fan-Glicksberg fixed pointed theorem upper semi-continuious lower semi-continuious |
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