| Banach空间中对偶规划的存在性定理 |
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| 引用本文： | 周广路,孙清滢.Banach空间中对偶规划的存在性定理[J].数学进展,1997,26(3):217-222. |
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| 作者姓名： | 周广路 孙清滢 |
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| 作者单位： | [1]曲阜师范大学运筹所 [2]石油大学应用数学系 |
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| 摘 要： | 本文利用无穷下降方向，在Ｂａｎａｃｈ空间中建立了若干非凸对偶规划的存在性定理。作为特例，给出了半无限对偶规划和有限对偶规划的存在性定理。
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| 关 键 词： | 有限规划 存在性定理 巴拿赫空间 对偶规划 |
The Existence Theorems for the Dual Nonconvex Mathematical Programming Problems in Banach Space |
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| Zhou Guanglu,Wang ChangyuReceived:,. This subject is supported by NSF of China and Shandong.The Existence Theorems for the Dual Nonconvex Mathematical Programming Problems in Banach Space[J].Advances in Mathematics,1997,26(3):217-222. |
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| Authors: | Zhou Guanglu Wang ChangyuReceived: This subject is supported by NSF of China and Shandong |
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| Institution: | Zhou Guanglu Wang ChangyuReceived: 1995 10 23. This subject is supported by NSF of China and Shandong. *Institute of Applied Mathematics,Academia Sinica,Beijing,100080 |
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| Abstract: | In this paper, the concept of infinite nondecreasing/nonincreasing direction is used to derive the existence theorems of the dual nonconvex mathematical programming problems in Banach space. As special cases, we discussed the existence theorems of the dual nonconvex finite dimensional programming problems and the dual nonconvex semi infinite programming problems. |
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| Keywords: | mathematical programming finite dimensional programming semi infinite programing existence throrem duality MR(1991) Subject Classification 90C25 |
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