| 关于集值优化问题的若干结果 |
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| 引用本文： | 彭建文. 关于集值优化问题的若干结果[J]. 运筹学学报, 2002, 6(1): 67-70 |
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| 作者姓名： | 彭建文 |
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| 作者单位： | 重庆师范学院数学系,重庆,400047 |
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| 基金项目： | This research is supported by National Natural Science Foundation of China. |
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| 摘 要： | 引入了集值集值C-τ-半预不变凸概念，证明了集值集值C-τ-半预不变凸优化问题的局部弱有效元是弱有效元，给出了集值预不变凸变分不等式作为集值C-τ-半预不变凸优化问题的充分条件和必要条件，这些结果推广了文[1-4]的相应结果。
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| 关 键 词： | 集值优化问题 局部弱有效元 弱有效元 集值C－τ－半预不变凸 充分条件 必要条件 |
Some Results on Set-Valued Optimization |
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| JIANWEN PENG. Some Results on Set-Valued Optimization[J]. OR Transactions, 2002, 6(1): 67-70 |
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| Authors: | JIANWEN PENG |
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| Abstract: | The definition of C-τ-semi-preinvex for set-valued function is introduced. It is proved that a local weak minimizer is also a weak minimizer for a semi-preinvex set-valued optimization problem. A set-valued variational inequality is given as necessary condition as well as sufficient condition of weak minimizer for a preinvex set-valued optimization problem. These generalize the corresponding results in [1～4]. |
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| Keywords: | set-valued optimization local weak minimizer weak minimizer C-r-semi-preinvex C-r-preinvex necessary condition sufficient condition generalized con-tingent epiderivative. |
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