| 近似锥-次类凸集值优化的严有效性 |
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| 引用本文： | 徐义红,刘三阳.近似锥-次类凸集值优化的严有效性[J].系统科学与数学,2004,24(3):311-317. |
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| 作者姓名： | 徐义红 刘三阳 |
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| 作者单位： | 1. 南昌大学数学系,南昌,330047;西安电子科技大学应用数学系,西安,710071
2. 西安电子科技大学应用数学系,西安,710071 |
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| 基金项目： | 国家自然科学基金(10261006)，教育部全国优秀博士论文作者专项基金(200217)，南昌大学基础理论基金资助课题 |
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| 摘 要： | 在Hausdorff局部凸拓扑线性空间中考虑约束集值优化问题(VP)的严有效性.在近似锥-次类凸假设下,利用凸集分离定理,分别得到了Kuhn-Tucker型和Lagrange型最优性条件,建立了与(VP)等价的两种形式的无约束优化.
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| 关 键 词： | 严有效性 近似锥-次类凸 集值优化 锥 |
| 修稿时间： | 2002年6月17日 |
ON STRICT EFFICIENCY IN SET-VALUED OPTIMIZATION WITH NEARLY CONE-SUBCONVEXLIKENESS |
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| Yi Hong XU,San Yang LIU.ON STRICT EFFICIENCY IN SET-VALUED OPTIMIZATION WITH NEARLY CONE-SUBCONVEXLIKENESS[J].Journal of Systems Science and Mathematical Sciences,2004,24(3):311-317. |
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| Authors: | Yi Hong XU San Yang LIU |
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| Institution: | (1)Department of Mathematics,Nanchang University, Nanchang 330047; Department of Applied Mathematics,Xidian University, Xi'an 710071;(2)Department of Applied Mathematics,Xidian University, Xi'an 710071 |
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| Abstract: | The set-valued optimization problem with constraints (VP) is considered in the sense of strict efficiency in Hausdorff locally convex linear topological spaces. Under the assumption of the nearly cone- subconvexlikeness, by applying separation theorem for convex sets, Kuhn-Tucker type and Lagrange type optimality conditions for (VP) are derived respectively, and two kinds of unconstrained programs equivalent to (VP) are established. |
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| Keywords: | Strict efficiency nearly cone-subconvexlikeness set-valued optimization cone |
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