| 局部凸拓扑空间上的广义拟变分不等式 |
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| 引用本文： | 王建国.局部凸拓扑空间上的广义拟变分不等式[J].电子科技大学学报(社会科学版),1989(2). |
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| 作者姓名： | 王建国 |
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| 作者单位： | 电子科技大学应用数学系 |
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| 摘 要： | 本文讨论了局部凸拓扑空间上的一类广义拟变分不等式问题。在适当的单调和连续性条件下,利用KKM定理和多值映射的不动点定理作为工具,得到了一个广义拟变分不等式解的存在性定理。所得结论是文献1]的结果的改进。
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| 关 键 词： | 广义拟变分不等式 KKM定理 不动点定理 多值映射 |
GENERALIZED QUASI-VARIATIONAL INEQUALITY IN LOCALLY CONVEX TOPOLOGICAL VECTOR SPACES |
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| Wang Jianguo.GENERALIZED QUASI-VARIATIONAL INEQUALITY IN LOCALLY CONVEX TOPOLOGICAL VECTOR SPACES[J].Journal of University of Electronic Science and Technology of China(Social Sciences Edition),1989(2). |
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| Authors: | Wang Jianguo |
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| Institution: | Dept.of Applied Mathmatics |
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| Abstract: | This paper studies the existence problem of the solution for the generalized quasi-variational inequality in locally convex topological vector spaces Using the KKM theorem and the fixed point Principle of the multivalued mapping as a tool, a general theorem is obtained. Theorem of the present author is more general than result proved in the paper1]. |
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| Keywords: | generalized quasi-variational inequality KKM theorem fixed point principle multivalued mapping |
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