| 乘积局部FC-一致空间内的聚合不动点定理和应用 |
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| 引用本文： | 丁协平.乘积局部FC-一致空间内的聚合不动点定理和应用[J].四川师范大学学报(自然科学版),2008,31(1):1-5. |
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| 作者姓名： | 丁协平 |
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| 作者单位： | 四川师范大学,数学与软件科学学院,四川,成都,610066 |
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| 基金项目： | 四川省重点学科建设项目 |
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| 摘 要： | 应用在局部FC-一致空间内对紧闭集值映象得到的一个Himmelberg型不动点定理,对定义在局部FC-一致空间的乘积空间上的紧闭集值映象族建立了新的聚合不动点定理.作为应用,在局部FC-一致空间内对具有下和上界的拟平衡问题组得到了解的存在性定理和得到了新的极小极大定理.这些结果推广了文献中的某些已知结果.
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| 关 键 词： | 紧闭集值映象 聚合不动点 具有下和上界的拟平衡问题组 极小极大定理 局部FC-一致空间 Compact closed set-valued mapping Collectively fixed point System of quasi-equilibrium problems with lower and upper bounds Minimax theorem Locally FC-uniform space |
| 文章编号： | 1001-8395（2008）01-0001-05 |
| 收稿时间： | 2007-04-04 |
| 修稿时间： | 2007年4月4日 |
Collectively Fixed Point Theorem in Product Locally FC-Uniform Spaces and Applications |
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| DING Xie-ping.Collectively Fixed Point Theorem in Product Locally FC-Uniform Spaces and Applications[J].Journal of Sichuan Normal University(Natural Science),2008,31(1):1-5. |
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| Authors: | DING Xie-ping |
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| Abstract: | In this paper, by using a Himmelberg type fixed point theorem for compact and closed set-valued mappings in locally FC-uniform space due to the author, a collectively fixed point theorem for a family of compact and closed set-valued mappings defined on the product space of locally FC-uniform spaces is proved. As applications, an existence result of solutions for a system of quasi-equilibrium problems with lower and upper bounds and a minimax theorem are obtained in locally FC-uniform spaces. These results generalize some known results in literature. |
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| Keywords: | Compact closed set-valued mapping Collectively fixed point System of quasi-equilibrium problems with lower and upper bounds Minimax theorem Locally FC-uniform space |
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