| 拓扑向量空间中带上下界均衡问题解的存在性 |
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| 引用本文： | 张岩.拓扑向量空间中带上下界均衡问题解的存在性[J].纯粹数学与应用数学,2011,27(3):377-382. |
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| 作者姓名： | 张岩 |
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| 作者单位： | 南京财经大学应用数学学院,江苏南京,210046 |
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| 基金项目： | 国家自然科学基金(11071109); 南京财经大学创新项目(YJSCX0926) |
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| 摘 要： | 主要研究了拓扑空间上的带上下界均衡问题和带限制条件的上下界均衡问题解的存在性.在非凸集上借助转移紧闭值等有关概念研究其相应均衡问题解的存在性,与一些作者的研究思路较为不同,得到了相应均衡问题解的存在条件,推广了一些作者在凸集上研究的相应结果,并且为相应均衡问题研究提供了一个新的视角.
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| 关 键 词： | 转移紧闭值 上下界均衡 限制均衡 |
Existence of the solution of the equilibrium problem with upper and lower bounded in topological space |
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| ZHANG Yan.Existence of the solution of the equilibrium problem with upper and lower bounded in topological space[J].Pure and Applied Mathematics,2011,27(3):377-382. |
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| Authors: | ZHANG Yan |
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| Institution: | ZHANG Yan(College of Applied Mathematics,Nanjing University of Finance and Economics,Nanjing 210046,China) |
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| Abstract: | In the paper,we studied the solution's existence of both the equilibrium problem with upper and lower bounded and the equilibrium problem with lower and upper bounds and restricted conditions in topological space.In the paper,we studied the solution's existence of related equilibrium problem on non-convex set by the concept of transfer compactly closed valued,which is a different way from that of some authors.We got the conditions for the existence of related equilibrium problem,promoted the related results... |
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| Keywords: | transfer compactly closed valued the equilibrium with upper and lower bounded equilibrium with restricted condition |
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