| 乘积G-凸空间内的非空交定理和广义矢量平衡问题组 |
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| 引用本文： | 丁协平.乘积G-凸空间内的非空交定理和广义矢量平衡问题组[J].应用数学和力学,2004,25(6):563-571. |
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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： | 国家自然科学基金资助项目(19871059)，四川省教育厅重点研究基金资助项目([2000]25) |
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| 摘 要： | 利用作在G凸空间内对集值映象簇得到的一个极大元存在性定理，在非紧乘积G空间内，对集值映象簇建立了某些新的非空交定理．作为应用，在非紧乘积G凸空间内，对广义矢量平衡问题组证明了一些平衡存在性定理．这些定理统一、改进和推广了献中一些重要的已知结果．
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| 关 键 词： | 集值映象组 非空交定理 广义矢量平衡问题组 乘积G凸空间 |
| 文章编号： | 1000-0887(2004)06-0563-09 |
| 修稿时间： | 2002年8月29日 |
Nonempty Intersection Theorems and System of Generalized Vector Equilibrium Problems in Product G-Convex Spaces |
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| DING Xie_ping.Nonempty Intersection Theorems and System of Generalized Vector Equilibrium Problems in Product G-Convex Spaces[J].Applied Mathematics and Mechanics,2004,25(6):563-571. |
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| Authors: | DING Xie_ping |
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| Abstract: | By using an existence theorems of maximal elements for a family of set_valued mappings in G_convex spaces due to the author, some new nonempty intersection theorems for a family of set_valued mappings were established in noncompact product G_convex spaces. As applications, some equilibrium existence theorems for a system of generalized vector equilibrium problems were proved in noncompact product G_convex spaces. These theorems unify, improve and generalize some important known results in literature. |
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| Keywords: | family of set-valued mapping nonempty intersection theorem system of generalized vector equilibrium problem product G-convex space |
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