| 内部锥类凸集值优化的Henig有效性 |
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| 引用本文： | 余丽,徐义红.内部锥类凸集值优化的Henig有效性[J].宜春学院学报,2007,29(2):9-11,28. |
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| 作者姓名： | 余丽 徐义红 |
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| 作者单位： | 1. 南昌大学,数学系,江西,南昌330047;宜春学院数学与计算机科学学院,江西,宜春336000
2. 南昌大学,数学系,江西,南昌330047 |
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| 基金项目： | 国家自然科学基金;江西省自然科学基金 |
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| 摘 要： | 在实赋范线性空间中考虑约束集值优化问题(vp)的Henig有效性.在内部锥类凸假设下,利用凸集分离定理,得到了Kuhn-Tucker必要条件.
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| 关 键 词： | Henig有效性 内部锥类凸 集值优化 |
| 文章编号： | 1671-380X（2007）02-0009-03 |
| 收稿时间： | 2007-01-18 |
| 修稿时间： | 2007-01-18 |
ON HENIG EFFICIENCY IN SET-VALUED OPTIMIZATION WITH IC-CONE-CONVEXLIKENESS |
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| YU Li,XU Yi-hong.ON HENIG EFFICIENCY IN SET-VALUED OPTIMIZATION WITH IC-CONE-CONVEXLIKENESS[J].Journal of Yichun University,2007,29(2):9-11,28. |
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| Authors: | YU Li XU Yi-hong |
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| Institution: | 1. Department of Mathematics, Nanchang University, Nanchang 330047 China; 2. Institute of Mathematics and Computer of Science Yichun University. JiangXi Yichun 336000 |
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| Abstract: | The set-valued optimization problem with constraints(VP)is considered in the sense of Henig efficiency in real normed linear space.Under the assumption of the ic-cone-convexlikeness,by applying separation theorem for convex sets,Kuhn-Tucker necessary conditions is derived. |
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| Keywords: | Henig efficiency ic-cone-convexlikeness set-valued optimization |
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