| 无限维空间中强拟凸向量优化问题有效解集的连通性 |
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| 引用本文： | 傅万涛,周昆平.无限维空间中强拟凸向量优化问题有效解集的连通性[J].应用数学学报,1995,18(1):140-146. |
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| 作者姓名： | 傅万涛 周昆平 |
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| 作者单位： | 南昌大学数学系 |
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| 摘 要： | 本文在无穷维空间引进增强凸变换的概念，在约束集是紧和凸的条件下目标函数是连续和强拟凸的，我们得取到向量极小问题有效解集的连通性。
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| 关 键 词： | 强拟凸映射 有效解 连通性 |
THE CONNECTEDNESS OF THE EFFICIENT SOLUTION SETS FOR A STRONGLY QUASICONVEX MULTIOBJECTIVE OPTIMIZATION IN INFINITE DIMENSIONAL SPACES |
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| FU WANTAO ZHOU KUNPING.THE CONNECTEDNESS OF THE EFFICIENT SOLUTION SETS FOR A STRONGLY QUASICONVEX MULTIOBJECTIVE OPTIMIZATION IN INFINITE DIMENSIONAL SPACES[J].Acta Mathematicae Applicatae Sinica,1995,18(1):140-146. |
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| Authors: | FU WANTAO ZHOU KUNPING |
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| Abstract: | in this paper, the concepts of the strongly quasiconvexity in infinite dimensional spaces is introduced. Under the condition that the constraint set is compact and convex while the objective function is continuous and strongly quasiconvex, we get the connectedness of the efficient solution sets to multiobjective optimization problems. |
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| Keywords: | A strictly quasiconvex map multiobjective optimization efficient solution cusp-condition connectedness |
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