拟变分不等式和社会平衡

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Quasi-Variationai Inequalities and Social Equilibrium

摘要: 我们在仿紧设置下,在Hausdorff拓扑矢量空间内证明了一个广义拟变分不等式,推广了Zhou-Chen和Aubin的相应结果.作为应用,关于最优化问题的解和亚对策的社会平衡解的两个存在性定理被证明.这些定理改进和推广了Kaczynki-Zeidan和Aubin的最近结果.
- 拓扑矢量空间 /
- 极小极大不等式 /
- 广义拟变分不等式 /
- 最优化问题 /
- 社会平衡
Abstract: A quasi-variational inequality is proved in paracompact setting which generalizes the results of Zhou Chen andAubin. As applications, two existence theorems on the solutions of optimization problems and social equilibria ofmetagames are showed which improve and extend the recent results of Kaczynski-Zeidan and Aubin.
- topological vector space /
- minimax inequality /
- generalized quasi-variational inequality /
- optimization problem /
- social equilibria

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