| 含参集值向量均衡问题各种有效解映射的下半连续性 |
| |
| 引用本文： | 孟旭东,王三华.含参集值向量均衡问题各种有效解映射的下半连续性[J].数学的实践与认识,2017(5):234-241. |
| |
| 作者姓名： | 孟旭东 王三华 |
| |
| 作者单位： | 1. 南昌航空大学科技学院,江西南昌,330034;2. 南昌大学数学系,江西南昌,330031 |
| |
| 基金项目： | 国家自然科学基金(11061023;11201216)，中国博士后科学基金(2015M582047)，江西省教育厅科学技术研究项目(GJJ161597) |
| |
| 摘 要： | 在实Hausdorff拓扑向量空间中,引进含参集值向量均衡问题,给出各种有效解的概念.在锥-次类凸的条件下,得到各种有效解的标量化结果.结合集值映射的弱f-性,在适当假设条件下,得到含参集值向量均衡问题各种有效解映射的下半连续性.
|
| 关 键 词： | 有效解 解映射 下半连续性 含参集值向量均衡问题 |
On the Lower Semicontionuity of Various Efficient Solution Mappings to Parametric Set-vector Equilibrium Problems |
| |
| MENG Xu-dong,WANG San-hua.On the Lower Semicontionuity of Various Efficient Solution Mappings to Parametric Set-vector Equilibrium Problems[J].Mathematics in Practice and Theory,2017(5):234-241. |
| |
| Authors: | MENG Xu-dong WANG San-hua |
| |
| Abstract: | In this paper,the concepts of various efficient solutions to a class of parametric set-vector equilibrium problems in real Hausdorff topological vector space are introduced.Under the condition of cone-subconvexlike,scalar characterizations of various efficient solutions are given.Combining with weak f-property for a set-valued mapping,and then under some suitable assumptions,the lower semicontionuity of various efficient solution mappings to the parametric set-vector equilibrium problems are gained. |
| |
| Keywords: | efficient solution solution mapping lower semicontionuity parametric set-vector equilibrium problems |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
