| Optimality Conditions for Generalized Static Programming with Convexity |
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| 作者姓名： | 刘建林 |
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| 作者单位： | [1]Dept. of Transportation, Shanghai Maritime Univ. , Shanghai 200135, China [2]Dept. of Mathmatica, Jiangxi Normal Univ. , Nangchang 330027 |
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| 基金项目： | National Natural Science Foundation of China（No. 70273029） |
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| 摘 要： |
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| 关 键 词： | 数学规划 静态规划 凸面 二元性 可微性 运筹学 |
| 文章编号： | 1007-1172（2005）03-0314-04 |
| 收稿时间： | 2004-12-13 |
Optimality Conditions for Generalized Static Programming with Convexity |
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| Liu JianLin.Optimality Conditions for Generalized Static Programming with Convexity[J].Journal of Shanghai Jiaotong university,2005,10(3):314-317. |
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| Authors: | Liu JianLin |
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| Abstract: | The definitions of generalized pseudoconvex,generalized quasiconvex and its strictly generalized convexity were presented for the static programming at locally star-shaped set using the concept of right-upper derivative and the concept of sublinear. The sufficient and necessary conditions of the static programming were derived in terms of a generalized Lemmain this paper. The results obtained are useful for the further study on the duality of static programming and cover many already known conditions. |
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| Keywords: | locally star-shaped set right-upper derivative generalized convexity static programming |
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