| 拓扑向量空间多目标规划锥有效解的广义最优性充分条件 |
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| 引用本文： | 杨雷,胡毓达.拓扑向量空间多目标规划锥有效解的广义最优性充分条件[J].上海交通大学学报,2002,36(2):281-285. |
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| 作者姓名： | 杨雷 胡毓达 |
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| 作者单位： | [1]上海交通大学应用数学系，上海200030 [2]温州大学数学与信息科学学院，温州325027 |
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| 基金项目： | 国家自然科学基金资助项目 ( 70 0 710 2 6 ) |
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| 摘 要： | 在拓朴向量空间中，引进映射的几个锥广义凸概念，对于目标映射约束映射为Gateaux可导的情况，建立了拓朴向量空间多目标规划问题锥有效解和锥弱有效解在锥广义凸条件下的几个最优性充分条件。
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| 关 键 词： | 拓扑向量空间 多目标规划 锥有效解 广义最优性 充分条件 |
Generalized Optimality Sufficient Conditions for Cone Efficient Solution of Multiobjective Programming in Topological Vector Space |
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| YANG Lei ,HU Yu da.Generalized Optimality Sufficient Conditions for Cone Efficient Solution of Multiobjective Programming in Topological Vector Space[J].Journal of Shanghai Jiaotong University,2002,36(2):281-285. |
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| Authors: | YANG Lei HU Yu da |
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| Institution: | YANG Lei 1,HU Yu da 2 |
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| Abstract: | Several concepts of cone generalized convex mappings were introduced in topological vector space. When the objective mappings and constraint mappings are Gteaux differentiable, several optimality sufficient conditions for cone efficient solutions and cone weakly efficient solutions of multiobjective programming problems were obtained under the assumption of cone generalized convexity. |
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| Keywords: | multiobjective programming optimality conditions cone quasi convex mapping cone pseudo convex mapping |
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