| 线性空间中向量均衡问题解的最优性条件 |
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| 引用本文： | 叶琳,仇秋生.线性空间中向量均衡问题解的最优性条件[J].浙江师范大学学报(自然科学版),2014(4):401-406. |
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| 作者姓名： | 叶琳 仇秋生 |
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| 作者单位： | 浙江师范大学数理与信息工程学院 |
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| 基金项目： | 国家自然科学基金资助项目(11471291);浙江省自然科学基金资助项目(LY12A01005) |
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| 摘 要： | 研究了带约束的向量均衡问题的最优性条件,获得了线性空间中向量均衡问题的弱有效解的充分条件、必要条件及局部凸空间中向量均衡问题的有效解的必要条件,并给出了向量变分不等式的弱有效解的充要条件.从而将向量均衡问题的解的最优性条件从拓扑空间推广到线性空间.
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| 关 键 词： | 向量均衡问题 弱有效解 有效解 最优性条件 |
Optimality conditions for vector equilibrium problems in linear spaces |
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| YE Lin;QIU Qiusheng.Optimality conditions for vector equilibrium problems in linear spaces[J].Journal of Zhejiang Normal University Natural Sciences,2014(4):401-406. |
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| Authors: | YE Lin;QIU Qiusheng |
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| Institution: | YE Lin;QIU Qiusheng;College of Mathematics,Physics and Information Engineering,Zhejiang Normal University; |
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| Abstract: | The optimality conditions of the vector equilibrium problems with constraints in linear spaces were studied. It was obtained the sufficient condition and necessary condition for weakly efficient solution of the vector equilibrium problems in the linear space and the necessary condition for efficient solution of the vector equilibrium problems in locally convex spaces. Furthermore,the sufficient and necessary conditions for weakly efficient solution to the vector variational inequality problem was also given. Theroefore,it was presented the optimality conditions extended from the topological spaces to the linear spaces. |
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| Keywords: | vector equilibrium problems weakly efficient solutions efficient solutions optimality conditions |
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