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具内部锥类凸集值优化问题超有效元的Kuhn-Tucker最优性条件

Kuhn-Tucker Optimality Conditions for Super Efficient Solutions of Set-Valued Optimization Problem Involving Ic-cone-conelikeness
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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. 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.
作者 林挺
机构地区 西华师范大学数学与信息学院
出处 《西华师范大学学报（自然科学版）》 2011年第1期36-41,共6页 Journal of China West Normal University(Natural Sciences)
基金 国家自然科学基金资助项目(60804065)
关键词 向量优化 超有效性 内部锥类凸性 择一性定理 vector optimization super efficient ic-cone-conevexlikeness theorem of the altermative.
分类号 O224 [理学—运筹学与控制论]
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参考文献15

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二级参考文献20

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共引文献26

西华师范大学学报（自然科学版）
2011年 第1期

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