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局部凸拓扑空间上的广义拟变分不等式
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, 0(2)
作者姓名:王建国
作者单位:电子科技大学应用数学系
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。

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
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, 0(2)
Authors:Wang Jianguo
Affiliation:Dept.of Applied Mathmatics
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 paper[1].
Keywords:generalized quasi-variational inequality  KKM theorem  fixed point principle  multivalued mapping  
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