| 对称算子均衡问题解的存在性分析 |
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| 引用本文： | 张卫兵,颜文勇.对称算子均衡问题解的存在性分析[J].四川大学学报(自然科学版),2017,54(3):459-462. |
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| 作者姓名： | 张卫兵 颜文勇 |
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| 作者单位： | 成都工业学院,成都工业学院 |
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| 摘 要： | 本文研究了拓扑向量空间中对称算子均衡问题解的存在性.在自然拟C-凸及C-上半连续的条件下,本文利用KKMF定理获得了拓扑向量空间中对称算子均衡问题解的存在性定理.所得结果改进和推广了现有的工作.
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| 关 键 词： | 对称算子均衡问题 自然拟 C-凸 C-上半连续 KKM-映像 |
| 收稿时间： | 2017/1/13 0:00:00 |
| 修稿时间： | 2017/1/16 0:00:00 |
Existence analysis of solutions for symmetric operator equilibrium problems |
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| ZHANG Wei-Bing and YAN Wen-Yong.Existence analysis of solutions for symmetric operator equilibrium problems[J].Journal of Sichuan University (Natural Science Edition),2017,54(3):459-462. |
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| Authors: | ZHANG Wei-Bing and YAN Wen-Yong |
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| Institution: | Chengdu Technological University,Chengdu Technological University |
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| Abstract: | In this paper, the existence of solutions for symmetric operator equilibrium problems is investigated in topological vector spaces. By virtue of the conditions of natural quasi-C-convex and C-upper semicontinuity , using the KKM Theorem, the existence theorems of solutions for symmetric operator equilibrium problems are obtained. Our results improve and extent the corresponding results that have studied. |
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| Keywords: | Symmetric operator equilibrium problems Natural quasi- -convex -upper semicontinious KKM-mapping |
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