| 具V-不变凸性的一类多目标控制问题的混合对偶性 |
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| 引用本文： | 陈世国,刘家学. 具V-不变凸性的一类多目标控制问题的混合对偶性[J]. 数学杂志, 2010, 30(2) |
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| 作者姓名： | 陈世国 刘家学 |
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| 作者单位： | 空军第一航空学院基础部,河南,信阳,464000 |
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| 摘 要： | 本文研究了一类多目标控制问题的混合对偶性.利用函数的广义V-不变凸性条件,得出了关于有效解的弱对偶定理、强对偶定理和严格逆对偶定理,推广了多目标控制问题的对偶性结论.
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| 关 键 词： | 多目标控制问题 有效解 混合对偶 广义V-小变凸性 |
MIXED TYPE DUALITY FOR A CLASS OF MULTIOBJECTIVE CONTROL PROBLEMS WITH V-INVEXITY |
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| CHEN Shi-guo,LIU Jia-xue. MIXED TYPE DUALITY FOR A CLASS OF MULTIOBJECTIVE CONTROL PROBLEMS WITH V-INVEXITY[J]. Journal of Mathematics, 2010, 30(2) |
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| Authors: | CHEN Shi-guo LIU Jia-xue |
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| Affiliation: | CHEN Shi-guo,LIU Jia-xue(Dept.of Basic,the First Aeronautic Institute of Air Force,Xinyang 464000,China) |
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| Abstract: | In this article,we investigate mixed type duality for a class of multiobjective control problems.By using the conditions of the generalized V-invexity on the functions involved,we obtain weak,strong,and strict converse duality theorems.This work extends many results on duality of multiobjective control problems established earlier. |
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| Keywords: | multiobjective control problem efficiency solutions mixed type duality generalized V-invexity |
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