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| 广义向量均衡问题的解与解集的凸性 | |
| 引用本文： | 万安华,傅俊义,毛卫华. 广义向量均衡问题的解与解集的凸性[J]. 南昌大学学报(理科版), 2003, 27(3): 216-219 |
| 作者姓名： | 万安华 傅俊义 毛卫华 |
| 作者单位： | 1. 西安交通大学,理学院,陕西,西安,710049 2. 南昌大学,数学系,江西,南昌,330047 3. 华南农业大学,理学院,广东,广州,510642 |
| 基金项目： | 江西省自然科学基金资助项目(0211035) |
| 摘 要： | 引进集值映射的锥真拟凹概念，讨论一类具有集值映射的广义向量衡问题解的存在性与解集的凸性。 |
| 关 键 词： | 广义向量均衡问题 解集 凸性 集值映射 拓扑线性空间 锥真拟凹概念 变分不等式 |
| 文章编号： | 1006-0464(2003)03-0216-04 |
| 修稿时间： | 2003-05-15 |
SOLUTIONS OF GENERALIZED VECTOR EQUILIBRIUM PROBLEMS AND THEIR CONVEXITY |
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| WAN An-hua,FU Jun-yi,MAO Wei-hua. SOLUTIONS OF GENERALIZED VECTOR EQUILIBRIUM PROBLEMS AND THEIR CONVEXITY[J]. Journal of Nanchang University(Natural Science), 2003, 27(3): 216-219 | |
| Authors: | WAN An-hua FU Jun-yi MAO Wei-hua |
| Affiliation: | WAN An-hua~1,FU Jun-yi~2,MAO Wei-hua~3 |
| Abstract: | The concept of cone-proper quasi-concavity for set-valued mappings is introduced.The existence of solutions for generalized vector equilibrium problems involving set-valued mappings and the convexity of solution set are discussed. |
| Keywords: | vector equilibrium problem set-valued mapping topological vector space solution set convexity |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |