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| 集值映射型广义Ekeland变分原理 | |
| 引用本文： | 成波,刘三阳. 集值映射型广义Ekeland变分原理[J]. 吉林大学学报(理学版), 2009, 47(4): 701-704 |
| 作者姓名： | 成波 刘三阳 |
| 作者单位： | 西安电子科技大学,应用数学系,西安,710071;安康学院,数学系,陕西,安康,725000;西安电子科技大学,应用数学系,西安,710071 |
| 摘 要： | 在序拓扑向量空间中定义了集合的非线性标量化函数, 并证明了它的一些性质. 利用集合的非线性标量化函数, 给出了关于集值映射的广义Ekela nd变分原理, 此变分原理是向量形式广义Ekland变分原理的推广. |
| 关 键 词： | 拓扑向量空间 集值映射 Ekeland变分原理 非线性标量化函数 |
| 收稿时间： | 2008-10-05 |
A Generalized Ekeland's Variational Principle for Set-valued Mappings |
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| CHENG Bo,LIU San-yang. A Generalized Ekeland's Variational Principle for Set-valued Mappings[J]. Journal of Jilin University: Sci Ed, 2009, 47(4): 701-704 | |
| Authors: | CHENG Bo LIU San-yang |
| Affiliation: | 1. Department of Applied Mathematics, Xidian University, Xi’an 710071, China;2. Department of Mathematics, Ankang University, Ankang 725000, Shaanxi Province, China |
| Abstract: | The nonlinear scalarization function of sets is defined in a topological vector space with a partial order structure.Some properties of the nonlinear scalarizaiton function are proved.By means of the nonlinear scalarization function,the authors have deduced a generalized Ekeland's variational principle for set-valued map,which is a generalization of the vectorial form of Ekeland-type variational principle. |
| Keywords: | topological vector space set-valued mapping Ekeland's principle nonlinear scalarization function |
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