| 带约束条件集值优化问题近似Henig有效解集的连通性 |
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| 引用本文： | 吴昌耀,陈剑尘.带约束条件集值优化问题近似Henig有效解集的连通性[J].数学的实践与认识,2021(5):221-227. |
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| 作者姓名： | 吴昌耀 陈剑尘 |
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| 作者单位： | 南昌航空大学数学与信息科学学院 |
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| 基金项目： | 国家自然科学基金(11061023);江西省自然科学基金(2010GZS0176);南昌航空大学博士启动基金(EA200907383);南昌航空大学研究生创新专项(YC2019037);江西省教育厅科技项目(GJJ171544)。 |
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| 摘 要： | 研究了带约束条件集值优化问题近似Henig有效解集的连通性.在实局部凸Hausdorff空间中,讨论了可行域为弧连通紧的,目标函数为C-弧连通的条件下,带约束条件集值优化问题近似Henig有效解集的存在性和连通性.并给出了带约束条件集值优化问题近似Henig有效解集的连通性定理.
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| 关 键 词： | 向量优化 带约束的近似Henig有效解 C-弧连通 连通性 集值映射 |
Connectedness of Approximate Henig Efficient Solution Sets for Set-valued Optimization Problems with Constraints |
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| WU Chang-yao,CHEN Jian-chen.Connectedness of Approximate Henig Efficient Solution Sets for Set-valued Optimization Problems with Constraints[J].Mathematics in Practice and Theory,2021(5):221-227. |
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| Authors: | WU Chang-yao CHEN Jian-chen |
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| Institution: | (School of Mathematics and Information Science,Nanchang Hangkong University,Nanchang 330063,China) |
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| Abstract: | In this paper,we study the connectedness of the set approximate Henig effective solutions for set-valued optimization problems with constrains.In the real locally convex Hausdorff space,we discuss the existence and connectedness of approximate Henig efficient solution set for the set-valued optimization problems with constraints under the conditions that the feasible region is an arcwise connected and compact subset,and the objective function is C-arc-connected set-valued mapping.The connectedness theorem is given approximate Henig effective solution sets for set-valued optimization problems with constrained. |
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| Keywords: | vector optimization approximate Henig efficient solutions with constraints C-arcwise connected connectedness set-valued mapping |
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