| 乘积FC-空间内涉及——较好容许集值映象的优化映象族的极大元及其应用 |
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| 引用本文： | 丁协平. 乘积FC-空间内涉及——较好容许集值映象的优化映象族的极大元及其应用[J]. 应用数学和力学, 2006, 27(12): 1405-1416 |
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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,成都610066 |
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| 基金项目： | 四川省教育厅重点科研基金资助项目(2003A081，SZD0406) |
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| 摘 要： | 引入了涉及-较好容许集值映象的映-拓扑空间到-有限连续拓扑空间（简称，FC-空间）的优化映象族．在乘积FC-空间的非紧设置下埘这类优化映象族证明了某些极大元存在性定理．在乘积FC-空间内给出了对不动点和极小极大不等式组的应用．这些定理改进、统一和推广了最近文献中的很多重要结果．
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| 关 键 词： | 极大元 G-优化映象族 不动点 极小极大不等式组 乘积FC-空间 |
| 文章编号： | 1000-0887（2006）12-1405-12 |
| 收稿时间： | 2005-04-16 |
| 修稿时间： | 2006-08-10 |
Maximal Elements of a Family of Majorized Mappings Involving a Better Admissible Mapping in Product FC-Spaces and Applications |
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| DING Xie-ping. Maximal Elements of a Family of Majorized Mappings Involving a Better Admissible Mapping in Product FC-Spaces and Applications[J]. Applied Mathematics and Mechanics, 2006, 27(12): 1405-1416 |
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| Authors: | DING Xie-ping |
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| Affiliation: | College of Mathematics and Software Science, Sichuan Normal University,Chengdu 610066, P, R. China |
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| Abstract: | A new family of majorized mappings from a topological space into a finite continuous topological space (in short,FC_space) involving a better admissible set_valued mapping was introduced. Some existence theorems of maximal elements for the family of majorized mappings were proved under noncompact setting of product FC_spaces.Some applications to fixed point and system of minimax inequalities were given in product FC_spaces.These theorems improve, unify and generalize many important results in recent literature. |
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| Keywords: | maximal element family of majorized mappings involing a better admissible set-valued mapping fixed point system of minimax inequalities product FC-space |
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