| B-(p,r)-不变凸规划问题的Mond-Weir型对偶 |
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| 引用本文： | 孙玉华.B-(p,r)-不变凸规划问题的Mond-Weir型对偶[J].经济数学,2005,22(1):100-104. |
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| 作者姓名： | 孙玉华 |
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| 作者单位： | 北京科技大学数力系,北京,100083 |
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| 摘 要： | 利用一类新的广义凸函数:B- (p,r) -不变凸函数,建立了多目标规划问题的Mond- Weir型对偶,证明了弱对偶、强对偶和逆对偶定理.其结论具有一般性,推广了许多涉及不变凸函数、不变B-凸函数和(p,r) -不变凸函数的文献的结论.
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| 关 键 词： | 多目标规划 B-(p r)-不变凸函数 对偶 有效解 |
| 修稿时间： | 2004年8月5日 |
Mond-Weir DUALITY FOR PROGRAMMING PROBLEMS WITH B-(p,r)- INVEXITY FUNCTIONS |
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| Sun Yuhua.Mond-Weir DUALITY FOR PROGRAMMING PROBLEMS WITH B-(p,r)- INVEXITY FUNCTIONS[J].Mathematics in Economics,2005,22(1):100-104. |
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| Authors: | Sun Yuhua |
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| Abstract: | By using a new generalized invex functions: B-(p,r)- invexity, the Mond-Weir dual problem of the multiobjective programming problems are considered, and duality results are established. The work generalize many results on programming problems with invex functions, B- invexity functions and (p,r)-invexity functions. |
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| Keywords: | multiobjective programming B-(p r)- invexity functions duality efficient solution |
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