| 几乎次类凸集值映射向量最优化问题中的Henig真有效性 |
| |
| 引用本文： | 夏良云.几乎次类凸集值映射向量最优化问题中的Henig真有效性[J].苏州大学学报(医学版),2006,22(3):25-29. |
| |
| 作者姓名： | 夏良云 |
| |
| 作者单位： | 江苏科技大学数理学院 江苏镇江212003 |
| |
| 摘 要： | 在局部凸拓扑向量空间中,建立几乎次类凸集值映射向量最优化问题关于基的Henig真有效解的标量化定理,Lagrange乘子定理及其对偶性定理.本文引进了关于基的Henig鞍点,用它将关于基的Henig真有效性特征化.
|
| 关 键 词： | 几乎次类凸映射 Henig真有效解 Henig对偶性 Henig鞍点 |
| 文章编号： | 1000-2073(2006)03-0025-05 |
| 收稿时间： | 04 8 2005 12:00AM |
| 修稿时间： | 2005年4月8日 |
Henig proper efficiency in vector optimization with nearly subconvexlike set-valued maps |
| |
| XIA Liang-yun.Henig proper efficiency in vector optimization with nearly subconvexlike set-valued maps[J].Journal of Suzhou University(Natural Science),2006,22(3):25-29. |
| |
| Authors: | XIA Liang-yun |
| |
| Institution: | School of Math. and Phys., Jiangsu Univ. of Sci. and Tech., Zhenjiang 212003, China |
| |
| Abstract: | We establish a scalarization theorem,a Lagrange multiplier theorem and duality theorem for Henig proper efficiency with respect to a base in vector optimization problem involving nearly subconvexlike set-valued maps in locally convex topological vector spaces.A new type of saddle point,called Henig saddle point with respect to a base,is introduced and is used to characterize Henig proper efficiency. |
| |
| Keywords: | nearly subconvexlike map Henig proper efficiency Henig duality Henig saddle point |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
