| 一类不可微规划的Kuhn-Tucker充分条件及其对偶理论 |
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| 引用本文： | 曹丽华,孙清滢.一类不可微规划的Kuhn-Tucker充分条件及其对偶理论[J].中国石油大学学报(自然科学版),1996(4). |
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| 作者姓名： | 曹丽华 孙清滢 |
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| 作者单位： | 石油大学数理系，石油大学数理系 山东东营 257062，山东东营 257062 |
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| 基金项目： | 石油大学校基金资助项目. |
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| 摘 要： | 对局部Lipschitz函数引进了广义凸性的概念,并在广义凸性下讨论了一类不可微规划的Kuhn- Tucker充分条件及其Mond- weir型对偶的各种对偶定理.
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| 关 键 词： | 不可微函数 规划 凸性 对偶理论 |
SUFFICIENCY OF THE KUHN-TUCKER CONDITION AND DUAL THEORIES FOR A CLASS OF NONSMOOTH OPTIMIZATION |
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| Cao Lihua Sun Qingying.SUFFICIENCY OF THE KUHN-TUCKER CONDITION AND DUAL THEORIES FOR A CLASS OF NONSMOOTH OPTIMIZATION[J].Journal of China University of Petroleum,1996(4). |
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| Authors: | Cao Lihua Sun Qingying |
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| Abstract: | The concepts of generalized B-invex functions, generalized pseudo-B-invex functions and quasi-B-invex functions are proposed, and the sufficiency of Kuhn-Tucker condition and the dual theories on non-smooth programming under the generalized convexity conditions are discussed. |
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| Keywords: | Non-differentiable function Programming Convexity Dual theory |
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