| B-(p,r)-不变凸规划问题的最优性讨论 |
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| 引用本文： | 孙玉华,张艳.B-(p,r)-不变凸规划问题的最优性讨论[J].辽宁师范大学学报(自然科学版),2005,28(2):139-142. |
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| 作者姓名： | 孙玉华 张艳 |
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| 作者单位： | 北京科技大学,数力系,北京,100083;北京建工学院,基础部,北京,100044 |
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| 摘 要： | B-(p,r)-不变凸函数是一类新的广义凸函数,它既是不变B凸函数又是(p,r)-不变凸函数的推广形式,从而是熟知的凸函数和不变凸函数的推广形式.这篇文章利用B-(p,r)-不变凸函数讨论了目标函数和约束函数均可微的多目标规划问题,证明了目标函数和约束函数在B-(p,r)-不变凸函数限制下可行解为有效解的几个最优性充分条件,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 最优性条件 有效解 |
| 文章编号： | 1000-1735(2005)02-0139-04 |
| 修稿时间： | 2004年11月28 |
Optimality Discussions for Programming Problems with B-(p,r)-Invexity Functions |
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| SUN Yu-hua,ZHANG Yan.Optimality Discussions for Programming Problems with B-(p,r)-Invexity Functions[J].Journal of Liaoning Normal University(Natural Science Edition),2005,28(2):139-142. |
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| Authors: | SUN Yu-hua ZHANG Yan |
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| Institution: | SUN Yu-hua~1,ZHANG Yan~2 |
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| Abstract: | B-(p,r)-invexity functions are new generalized invex functions. It is generalization of the B-invexity functions and (p,r)-invexity functions, thus it is the generalization of well known invex functions and invexity functions. By using B-(p,r)-invexity functions, the multiobjective programming problems are considered, in which the objective and the constraint functions are differentiable. The sufficient optimality conditions for an efficient solution are established, under B-(p,r)-invexity assumptions on objective and the constraint functions. The work generalizes 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 optimality conditions efficient solution |
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