| 具内部锥类凸集值优化问题超有效元的Kuhn-Tucker最优性条件 |
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| 引用本文： | 林挺.具内部锥类凸集值优化问题超有效元的Kuhn-Tucker最优性条件[J].西华师范大学学报(哲学社会科学版),2011(1). |
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| 作者姓名： | 林挺 |
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| 作者单位： | 西华师范大学数学与信息学院; |
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| 基金项目： | 国家自然科学基金资助项目(60804065) |
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| 摘 要： | 在Hausdorff局部凸拓扑线性空间中考虑具内部锥类凸函数约束集值优化问题(SOP)的超有效元.在内部锥类凸和条件(CQ)成立的假设下,利用择一性定理得到了向量集值优化问题(SOP)超有效元的Kuhn-Tucker型最优性充分必要条件.
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| 关 键 词： | 向量优化 超有效性 内部锥类凸性 择一性定理 |
Kuhn-Tucker Optimality Conditions for Super Efficient Solutions of Set-Valued Optimization Problem Involving Ic-cone-conelikeness |
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| LIN Ting.Kuhn-Tucker Optimality Conditions for Super Efficient Solutions of Set-Valued Optimization Problem Involving Ic-cone-conelikeness[J].Journal of China West Normal University:Natural Science Edition,2011(1). |
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| Authors: | LIN Ting |
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| Institution: | LIN Ting(College of Mathematics and Information,China West Normal University,Nanchong,Sichuan,637009,China) |
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| Abstract: | The super efficiency set-valued optimization problems involving Ic-cone-conevexlikeness constraints(SOP) is considered in Hausdorff locally linear topological spaces.Under the assumption of the ic-cone-conevexlikness and condition(CQ),Kuhn-Tucker type optimality conditions for super efficient solutions of(SOP) are derived by applying alternative theorem. |
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| Keywords: | vector optimization super efficient ic-cone-conevexlikeness theorem of the altermative |
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