| 集值函数向量优化锥弱有效解的最优性条件 |
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| 引用本文： | 孟志青,邹凯.集值函数向量优化锥弱有效解的最优性条件[J].湘潭大学自然科学学报,1995,17(4):24-27. |
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| 作者姓名： | 孟志青 邹凯 |
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| 作者单位： | 湘潭大学计算机科学系，湘潭大学数学系 |
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| 摘 要： | 本文在局部凸拓扑向量空间中对集值函数向量优化的锥弱有效解给出了ＦｒｉｔｚＪｏｈｎ型和Ｋｕｈｎ－Ｔａｃｋｅｒ型必要条件，同时还给出了它的充分条件．
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| 关 键 词： | 集值函数，锥－弱有效点 锥－弱有效解锥－弱次梯度，锥－弱次可微 |
THE SUFFICIENT AND NECESSARY CONDITION FOR WEAK EFFICIENT SOLUTION OF VECTOR OPTIMIZATION OF SET-VALUED FUNCTIONS |
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| Meng Zhiqing,Zou Kai.THE SUFFICIENT AND NECESSARY CONDITION FOR WEAK EFFICIENT SOLUTION OF VECTOR OPTIMIZATION OF SET-VALUED FUNCTIONS[J].Natural Science Journal of Xiangtan University,1995,17(4):24-27. |
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| Authors: | Meng Zhiqing Zou Kai |
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| Abstract: | In this paper, we establish the Fritz John and Kuhn-Tacker type necessary condition and sufficient condition for cone weak efficient solution of vector optimization of set -valued funtions in locally convex topological vector spaces. |
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| Keywords: | set-valued function cone-weak efficient cone-weak efficient solution cone-weak subgradient cone-weak subdifferential |
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